
	Where results make sense

Topic: Spectrum of an operator

Related Topics

Discrete spectrum

Continuous spectrum

Spectral theorem

Eigenvalue

Dual space

Transpose

Eigenvector

Rank (linear algebra)

Eigenplane

Transformation matrix

Linear transformation

London Docklands

Rank

Tantric Buddhism

Docklands

In the News (Sun 29 Nov 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	NationMaster - Encyclopedia: Spectrum of an operator (Site not responding. Last check: 2007-10-11)
		In functional analysis, a compact operator is a linear operator L from a Banach space X to another Banach space Y, such that the image under L of any bounded subset of X is a relatively compact subset of Y. Such an operator is necessarily a bounded operator, and so...
		In functional analysis, a normal operator on a Hilbert space H is a continuous linear operator N : H → H that commutes with its hermitian adjoint N: N N = N* N. The main importance of this concept is that the spectral theorem applies to normal operators.
		Thus, the spectrum is an upper semi-continuous function of the operator: Any neighbourhood of the spectrum of a bounded operator contains the spectra of all operators sufficiently close to it (in the case of unbounded operators a slight modification is required).
	www.nationmaster.com /encyclopedia/Spectrum-of-an-operator (1643 words)

	Spartanburg SC \| GoUpstate.com \| Spartanburg Herald-Journal (Site not responding. Last check: 2007-10-11)
		In functional analysis, the concept of the spectrum of an operator is a generalisation of the concept of eigenvalues for matrices.
		A bounded operator may be viewed as an element of a Banach algebra, with the definition of spectrum transferred verbatim from that context.
		The spectrum of an unbounded operator is in general a closed, possibly empty, subset of the complex plane.
	www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=Spectrum_(functional_analysis) (1322 words)

	Eigenvector : Spectrum of an operator
		In linear algebra, the eigenvectors (from the German eigen meaning "own") of a linear operator are non-zero vectors which, when operated on by the operator, result in a scalar multiple of themselves.
		In quantum mechanics, operators correspond to observable variables, eigenvectors are also called eigenstates, and the eigenvalues of an operator represent those values of the corresponding variable that have non-zero probability of occurring.
		An important tool for describing eigenvalues of square matrices is the characteristic polynomial: saying that c is an eigenvalue of A is equivalent to stating that the system of linear equations (A - cI) x
	www.fastload.org /sp/Spectrum_of_an_operator.html (740 words)

	Qwika - similar:Continuous_spectrum
		An operator acting on a Hilbert space is said to have a discrete spectrum if its eigenvalues cannot be changed continuously.
		The position and the momentum operators (in an infinite space) have co...
		In functional analysis, the concept of the spectrum of an element of a Banach algebra is a generalisation of the concept of eigenvalues, which is exceedingly useful in the case of operators on infinite-dimensional spaces.
	www.qwika.com /rels/Continuous_spectrum (195 words)

	Spectrum of an operator
		Abacci > Abaccipedia > Sp > Spectrum of an operator
		If X is a Hilbert space and T is a normal operator, then a remarkable result known as the spectral theorem gives an analogue of the diagonalisation theorem for normal finite-dimensional operators (Hermitian matrices, for example).
		Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators
	www.abacci.com /wikipedia/topic.aspx?cur_title=Spectrum_of_an_operator (799 words)

	Discrete Laplace operator - Biocrawler (Site not responding. Last check: 2007-10-11)
		In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid.
		The discrete Laplace operator occurs in physics problems such as the Ising model and loop quantum gravity, as well as in the study of discrete dynamical systems.
		If the graph is an infinite square lattice grid, then this definition of the Laplacian can be shown to correspond to the continuous Laplacian in the limit of an infinitely fine grid.
	www.biocrawler.com /encyclopedia/Discrete_Laplace_operator (367 words)

	Spectrum trading will affect cellular operators (December 2004) - Features - Wireless Web
		While spectrum trading is an economic concept, it is important not to underestimate the importance of the underlying radio technologies.
		Spectrum could be traded in limited geographic areas only, frequencies could be shared with other operators and operators could hire extra spectrum for special events.
		Many operators have acquired their 2G spectrum through "beauty contests", in which operators are granted licences based on their perceived ability to make best use of the resource.
	wireless.iop.org /articles/feature/5/12/7 (808 words)

	Talk:Compact operator - Biocrawler (Site not responding. Last check: 2007-10-11)
		It shows that a compact operator K has a discrete spectrum, with finite multiplicities (so that K − λI has a finite-dimensional kernel for all complex λ;).
		Which is close, but case where the spectrum has 0 as a limit point is not a discrete subset of C.
		Volterra operator) and if 0 is an eigenvector it may have infinite multiplicity (e.g.
	www.biocrawler.com /encyclopedia/Talk:Compact_operator (155 words)

	Alias Operator
		An example of aliasing is shown in Fig.
		operation can be simulated by rerolling the cylinder of paper to cut its circumference in half.
		In the time domain,decimation is the inverse of the stretch operator.
	www.technick.net /public/code/cp_dpage.php?aiocp_dp=guide_dft_alias_operator (683 words)

	Spectrum of an operator (Site not responding. Last check: 2007-10-11)
		The boundedness of the spectrum follows from the Neumann series expansion in λ, which also helps prove the closedness of the spectrum and hence its compactness.
		is surjective, with its inverse a bounded operator.
		The spectrum of an unbounded operator is in general an unbounded subset of the complex plane.
	www.toolhost.com /Spectrum_of_an_operator.html (891 words)

	Intra-circle telecom buys may be allowed
		By re-auctioning the freed spectrum allocation, the government will not only maintain the number of operators in a circle at four but also bring additional revenue to the exchequer.
		Cell firms were also of the opinion that the 6.2 mhz spectrum allocated by the government was not enough to provide top-class services.
		Operators are now allocated up to 6.2 mhz of spectrum in a circle.
	www.rediff.com /money/2003/jun/14telecom.htm?zcc=rl (397 words)

	physics - Spectrum of an operator
		Then if I denotes the identity operator, and T ∈ B(X) then the spectrum of T (normally written as σ(T)) consists of λ such that λ I - T is not invertible in the algebra of bounded linear operators on X.
		The boundedness of the spectrum is immediate from the Neumann series expansion (named after the German mathematician Carl Neumann),
		It follows that the set of invertible operators is open, and hence, since the function C → B(X) defined by λ → λ I - T is continuous, the set of λ for which λ I - T is invertible is open, so its complement is closed; but this complement is exactly σ(T).
	www.physicsdaily.com /physics/Spectrum_of_an_operator (736 words)

	Matisse's Glossary of Internet Terms
		An intranet that is accesible to computers that are not physically part of a companys' own private network, but that is not accessible to the general public, for example to allow vendors and business partners to access a company web site.
		So if an Internet company says they will soon have a POP in Belgrade, it means that they will soon have a local phone number in Belgrade and/or a place where leased lines can connect to their network.
		An inappropriate attempt to use a mailing list, or USENET or other networked communications facility as if it was a broadcast medium (which it is not) by sending the same message to a large number of people who didn?t ask for it.
	www.matisse.net /files/glossary.html (9553 words)

	Spectrum Trading and Liberalisation: new threats and opportunities for telecoms business models
		Players need to understand fully the wide-ranging implications of spectrum trading, especially where this is accompanied by liberalisation in the use of spectrum, in order to be in a position to drive outcomes in national and international markets.
		Spectrum Trading and Liberalisation: New threats and opportunities for telecoms business models analyses the hidden threats and opportunities of the unfolding new regimes, and discusses the strategic implications for the major types of player affected by the change in spectrum regimes: mobile operators and fixed/mobile incumbents.
		If you are an operator, investment bank, vendor, regulator or consultancy working on investment, policy or strategic decisions in wireless telecoms services, you need this report's understanding of the potentially huge impact of spectrum trading and liberalisation on market structures and player business models.
	www.biz-lib.com /ZAY66511.html (616 words)

	Printer Friendly Version (Site not responding. Last check: 2007-10-11)
		According to sources, the ministry feels that if spectrum is auctioned after fixing a high base price, operators may bid aggressively which may lead to high cost of 3G services, which could, in turn, arrest the momentum of growth in the telecom sector.
		An operator wishing to bid for all the circles will have to pay Rs 1,400 crore as base price.
		Since the first five operators will be given spectrum in the first go, and if all of them bid for pan-India spectrum, the government stands to garner about Rs 7,000 crore just through the base price.
	www.financialexpress.com /print.php?content_id=142826 (432 words)

	Birman: Discrete spectrum of the periodic elliptic operator with a differential perturbation
		Birman: Discrete spectrum of the periodic elliptic operator with a differential perturbation
		Discrete spectrum of the periodic elliptic operator with a differential perturbation.
		Birman, Discrete spectrum of the periodic Schrödinger operator for non-negative perturbations, Operator Theory: Advances and Applications, vol.
	www.numdam.org /numdam-bin/item?id=JEDP_1994____A14_0 (64 words)

	Re: The need of geodesics in physics
		An observable in QM is a Hermitian >operator, and such an operator has a characteristic that is known in >the literature as its spectrum.
		Actually, the term "spectrum" is generic to linear algebras, and is not specific to operator algebras.
		If A is an algebra over a field F, the spectrum of an element a of A would be spec(a) = { f in F: (a-f) has no two-sided inverse in A }.
	www.usenet.com /newsgroups/sci.physics/msg23719.html (345 words)

	Ionogram Interpretation as Image Recognition
		More intensive usage of a short-term image memory (duration of an exact and full ionogram image lasts about 1s) gives an operator an additional advantage, while matching the two fast changing ionograms.
		An operator's work quality depends much on images presenting parameters (sharpness, contrast range, brightness, exposure, colour, signal/noise relation, size, orientation).
		In addition, small parts of an ionogram should be analysed simultaneously and in detail [2].
	www.ips.gov.au /IPSHosted/INAG/uag-104/text/chaken.html (406 words)

	Continuous spectrum Did You Mean continuous? (Site not responding. Last check: 2007-10-11)
		An operator acting on a Hilbert space is said to have a continuous spectrum if its eigenvalues can be changed continuously.
		If the spectrum of an operator is not continuous, we say that it is has discrete spectrum.
		The position operator usually has a continuous spectrum, much like the momentum operator in an infinite space.
	www.did-you-mean.com /Continuous_spectrum.html (404 words)

	White Systems Spectrum Plus (Site not responding. Last check: 2007-10-11)
		Spectrum Plus is a flexible and scalable warehouse control application that can be used to perform all tasks associated with carousel bulk storage management such as picking, stocking, counting, and inventory tracking.
		Spectrum Plus is designed to eliminate the paperwork normally found in non-automated warehouse systems.
		When an operator confirms that a task has been completed, Spectrum Plus' positive acknowledgement feature reports the activity to the host, keeping inventory information up to date.
	www.whitesystems.com /products/plus.htm (159 words)

	Thermo Scientific - SpectraCheck Verifies Peak Identification
		An expanded view of the Mo peak with both synthetic and residual spectra overlaid shows that all peaks have not be accounted for in the analysis.
		Placing the spectra cursor on the residual peak of interest in the spectrum highlights all possible elements in the periodic table that have an energy peak in the near vicinity of the cursor.
		The synthetic spectrum is a perfect match to the original data, the residual spectrum is flat, and the SpectraCheck value dropped significantly to 2.7.
	www.thermo.com /com/cda/products/product_application_details/1,1063,11648,00.html (552 words)

	Zee News - CDMA players support TRAI's recommendations on 3G spectrum (Site not responding. Last check: 2007-10-11)
		However, the group said the policy of allocating spectrum for 2G (existing) mobile services is "subjective" and asked the telecom regulator to make it consistent with its recent recommendations on allocating 3G spectrum.
		By subjectively allocating 2G spectrum on an incremental basis based on an operator's reported subscriber numbers and a dated spectrum efficient analysis, CDMA operators are constrained to only half of the amount of spectrum available to GSM operators, it said.
		The spectrum for immediate allocation in case of 3G services should be in 450 MHz, 800 MHz and 2.1 GHz, TRAI had said.
	www.zeenews.com /znnew/articles.asp?aid=326550&ssid=54&sid=BUS (320 words)

	Spectrum-Sensitive Portable Collimated Gamma-Radiometer "CORAD"
		The spectrometer unit of the radiometer is capable of operating with various types of gamma-radiation detectors.
		While processing the spectrum, the microprocessor carries out an automatic substraction of the background, checking of a photopeak location for a radionuclide being measured, and, if necessary, either automaticaly corrects the measurement result, or generates a message for an operator.
		At present the radiometer is delivered along with a certified technique of determination of Cs-137 surface activity in the presence of natural radionuclides of uranium-thorium series and K-40 in soil, evaluation of radiation thickness of a contaminated layer and of an activity fraction contained in the upper, 3-5 cm thick layer of soil.
	www.kiae.ru /eng/inf/tex/t51.html (604 words)

	Mexican Department Of Defense Acknowledge UFOs In Mexico
		The FLIR operator was Lt. Mario Adrián Vázquez and the RADAR operator Lt. German Ramirez, all of them members of the 501 Aerial Squadron.
		The RADAR and FLIR presented an insolit image of an eleven objects near by in a circle formation around the Merlin C26A.
		General Vega as well as his staff were very open to discuss the subject and showed their legitimate interest in conducting this investigation in order to establish the truth of what happened.
	www.rense.com /general52/deff.htm (1733 words)

	[No title] (Site not responding. Last check: 2007-10-11)
		The spectrum of selfadjoint compact pseudodifferential operators in a bounded Euclidean domain is studied.
		For such ΨDO the asymptotics of the positive and negative spectrum including remainder term estimates are obtained by the variational method.
		The case of an operator with "constant" symbol is singled out.
	www.turpion.org /php/paper.phtml?journal_id=sm&paper_id=1309 (118 words)

	ARRLWeb: Broadband Over Power Line (BPL) and Amateur Radio
		The graph and article shows the expected receiver input power from the natural noise floor (galactic noise (from ITU-R P.372-8)); and the expected receiver input power from BPL that is of intensity sufficient to result in a maximum field strength of 30?V/m at 30m distance as specified by FCC Part 15.209.
		It outlines the spectrum that must be protected under the rules and additional spectrum that will need to be protected to meet the rules requiring that BPL not cause harmful interference.
		An excellent article on BPL was published in the July/August 2004 edition of TCA, the Canadian Amateur, "BPL Interference: Fact or Fiction," Barry Malowanchuk, VE4MA.
	www.arrl.org /tis/info/HTML/plc (959 words)

	Discrete spectrum Did You Mean discrete? (Site not responding. Last check: 2007-10-11)
		The position and the momentum operators (in an infinite space) have continuous spectra.
		This is a major difference with the corresponding operators in classical mechanics.
		In the case of the Hydrogen atom, it has both continuous as well as discrete part of the spectrum; the continuous part represents the ionized atom.
	www.did-you-mean.com /Discrete_spectrum.html (295 words)

	CDMA Group Commends Indian 3G Plans
		The CDG also supports the recommendation to reassign the unused spectrum in the 800 MHz band and re-farm spectrum in the 900 MHz band so that additional carriers can be made available to mitigate a shortage of spectrum in the long-term.
		By subjectively allocating 2G spectrum on an incremental basis based on an operator's reported subscriber numbers and a dated spectrum efficiency analysis, CDMA2000 operators are constrained to only half of the amount of spectrum available to GSM operators.
		The CDG recommends that this unfair policy be rectified and be made consistent with the proposed 3G spectrum policy which places all players on a level playing field.
	www.cellular-news.com /story/19670_print.php (475 words)

Try your search on: Qwika (all wikis)