
	Where results make sense

Topic: Continuous functional calculus

Related Topics

functional analysis

functional programming

trigonometric function

functional group

exponential function

probability density function

continuous functions

graph of a function

Riemann zeta function

function domain

holomorphic function

In the News (Fri 1 Jun 12)

EXECUTIVE POWER

Iran

ANALYSIS

Pakistan

Family compact

	Learn more about Functional analysis in the online encyclopedia. (Site not responding. Last check: 2007-10-08)
		Functional analysis is that branch of mathematics and specifically of analysis which is concerned with the study of spaces of functions.
		An important object of study in functional analysis are the continuous linear operators defined on Banach and Hilbert spaces.
		The notion of derivative is extended to arbitrary functions between Banach spaces; it turns out that the derivative of a function at a certain point is really a continuous linear map.
	www.onlineencyclopedia.org /f/fu/functional_analysis.html (579 words)

	Borel functional calculus -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-08)
		In (additional info and facts about functional analysis) functional analysis, the Borel functional calculus is a (A system of symbolic logic that represents individuals and predicates and quantification over individuals (as well as the relations between propositions)) functional calculus (i.e.
		However, it is desirable to formulate the functional calculus in a way in which it is clear that it does not depend on the particular representation of T as a multiplication operator.
		Using the multiplication by a function f model of a self-adjoint operator given by the spectral theorem, this is multiplication by the composition of h with f.
	www.absoluteastronomy.com /encyclopedia/b/bo/borel_functional_calculus.htm (714 words)

	Calculus
		Ambient calculus Ambient calculus is a form of notation devised by Luca Cardelli and 1998 and used to describe and theor...
		Calculus of variations Calculus of variations is a field of brachistochrone, the path along which a particle would desce...
		Stochastic calculus Stochastic calculus is a branch of random (i.e.
	www.brainyencyclopedia.com /topics/calculus.html (680 words)

	ipedia.com: C-star-algebra Article (Site not responding. Last check: 2007-10-08)
		The prototypical example of a C-algebra is the algebra L(H) of continuous* linear operators defined on a complex Hilbert space H; here x* denotes the adjoint operator of the operator x : H
		Their study is a specialized area of functional analysis in itself, separate from C*-algebras.
		In quantum field theory, one typically describes a physical system with a C-algebra A with unit element; the self-adjoint elements of A (elements x with x = x) are thought of as the observables, the measurable quantities, of the system.
	www.ipedia.com /c_star_algebra.html (880 words)

	Functional analysis at opensource encyclopedia (Site not responding. Last check: 2007-10-08)
		These lead naturally to the definition of C* algebras and other operator algebras.
		Since finite-dimensional Hilbert spaces are fully understood in linear algebra, and since morphisms of Hilbert spaces can always be divided into morphisms of spaces with Aleph-null (ℵ
		) dimensionality, functional analysis of Hilbert spaces mostly deals with the unique Hilbert space of dimensionality Aleph-null, and its morphisms.
	wiki.tatet.com /Functional_analysis.html (533 words)

Try your search on: Qwika (all wikis)