Juliusz Paweł Schauder (1899-1943) was a Polish mathematician.

Schauder was Jewish, and after the invasion of German troops in Lwów it was impossible for him to continue his work - it was even impossible for him to write down his last results, for lack of paper.

He is best known for the Schauder fixed point theorem which is a major tool to prove the existence of solutions in various problems.

Juliusz Schauder -- Facts, Info, and Encyclopedia article(Site not responding. Last check: 2007-10-29)

Juliusz Paweł Schauder (1899-1943) was a (The property of being smooth and shiny) Polish (A person skilled in mathematics) mathematician.

He was captured and imprisoned in (A republic in southern Europe on the Italian Peninsula; was the core of the Roman Republic and the Roman Empire between the 4th century BC and the 5th century AD) Italy.

He is best known for the (additional info and facts about Schauder fixed point theorem) Schauder fixed point theorem which is a major tool to prove the existence of solutions in various problems.

Schauder(Site not responding. Last check: 2007-10-29)

While Schauder was in Paris he collaborated with J Leray and their joint work led to a paper Topologie et équations fonctionelles published in the Annales scientifiques de l'École normale Supérieure.

Schauder's main achievement consists in transferring some topological notions and theorems to Banach spaces (the fixed point theorem, invariance of domain, the concept of index).

Schauder's wife Emilia was hidden in Lvov by the Polish resistance for some time after her husbands death.

The first result in the field was the Schauder fixed point theorem, proved in 1930 by JuliuszSchauder.

One way in which fixed-point theorems of this kind have had a larger influence on mathematics as a whole has been that one approach is to try to carry over methods of algebraic topology, first proved for finite simplicial complexes, to spaces of infinite dimension.

The Schauder fixed point theorem states, in one version, that if C is a nonempty closed convex subset of a Banach space V and f is a continuous map from C to C whose image is countably compact, then f has a fixed point.

JuliuszSchauder was my teacher of mathematics in secondary school and also at the University of Lwów where I studied theoretical physics.

Juliusz Pawel Schauder was born in Lwów on September 25, 1899 as a son of Regina and Zygmunt Schauder.

Two other famous contributions were: The "Schauder fixed point principle" [8] (which he proved before he came to our school), and the "Schauder method in the boundary problems for partial differential equations" (this was done while he was a teacher in our school).

www.tmna.ncu.pl /htmls/mem1.html (5070 words)

Juliusz Schauder(Site not responding. Last check: 2007-10-29)

Juliusz Paweł Schauder (1899 - 1943) was a Polish mathematician.

Schauder was Jewish, and after the invasion of German troops in Lvov it was impossible for him to continue his work - it waseven impossible for him to write down his last results, for lack of paper.

Other concepts introducedby him include the notion of Schauder bases (the generalization of a orthonormal basis from Hilbert spaces to Banach spaces) and the Leray-Schauder principle, a way toestablish solutions of partial differentialequations from a priori estimates.

At the time of Schauder's studies the chair of theoretical physics was for a few years temporarily occupied by an experimental physicist Stanislaw Loria (1883-1958), who probably would not have attracted the attention of the mathematically minded Schauder.

Schauder started, however, to give special lectures at the University and soon became an influential member of the emerging (and later world famous) mathematical school centered around S. Banach and H. Steinhaus.

Schauder had the chair of mechanics in the Department of Mathematics, but lectures of Theoretical Mechanics for physicists were given by physicist Milianchuk.

Juliusz Schauder(Site not responding. Last check: 2007-10-29)

Born on September 21 1899 in Lvov, he had to fight in World War I right after his graduation from school.

After the beginning of World War II he was finally appointed professor in Lvov.

Schauder was Jewish, and after the invasion of German troops in Lvov it was impossible for him to continue his work - it was even impossible for him to write down his last results, for lack of paper.

Leray(Site not responding. Last check: 2007-10-29)

In 1933 JuliuszSchauder arrived in Paris on a Rockefeller scholarship to work with Hadamard.

This led to a collaboration between Leray and Schauder and their joint work led to a paper Topologie et équations fonctionelles published in the Annales scientifiques de l'École normale Supérieure.

After his 1934 paper with Schauder, Leray published a paper on algebraic topology in the following year on the topology of Banach spaces.

Schauder(Site not responding. Last check: 2007-10-29)

While Schauder was in Paris he collaborated with J Leray and their joint work led to a paper Topologie et équations fonctionelles published in the Annales scientifiques de l'Ecole normale Supérieure.

In particular, Schauder's formulation of a fixed point theorem originated a new, extremely fruitful method in the theory of differential equations, known as Schauder's method...

Now Schauder was treated well by the new Soviet administration.

UMK - Juliusz Schauder Centre for Nonlinear Studies - The Center's Objectives(Site not responding. Last check: 2007-10-29)

UMK - JuliuszSchauder Centre for Nonlinear Studies - The Center's Objectives

JuliuszSchauder Centre for Nonlinear Studies - The Center's Objectives

to support scientific research in nonlinear analysis commenced by the Lvov's Mathematical School, in particular by Juliusz Pawel Schauder both in the theoretical field and in applications;

My earliest memory of Juliusz Pawel Schauder (nickname: Julek) is of a teenager throwing cherry pits at a group of four little boys about eigth to ten years old, younger than himself: these were his two brothers, my brother and myself.

The time was a few years before the outbreak of World War I. The place was a town named Rohatyn, a district town near Lwów.

It was known to many that frequently, when S. Banach was asked a mathematical question, he would say: "go to Auerbach, he will give you the answer".

Each year the NCU academic staff receive around 50 grants from the State Committee for Scientific Research and participate in joint projects with various higher educational and research institutions.

The following research centres are located at the University: the Centre for Canadian Studies, the Jean Monnet Centre for European Studies recognized as 'a centre of excellence', the JuliuszSchauder Centre for Nonlinear Studies, the National Laboratory of Atomic, Molecular and Optical Physics, the Centre of Archeology, and the Centre of Astronomy.

A 32-metre radiotelescope, the third biggest in Europe, operates at the Centre of Astronomy.

www.umk.pl /en/university/history (629 words)

References for Schauder(Site not responding. Last check: 2007-10-29)

W Forster, J Schauder : Fragments of a portrait, Numerical Solution of Highly Nonlinear Problems (Amsterdam, 1980), 417-425.

Orlicz(Site not responding. Last check: 2007-10-29)

JuliuszSchauder, Stefan Kaczmarz and many others talked about mathematical problems and looked for their solutions.

In the late seventies Orlicz started to collect information about mathematicians from Lvov and he was planning to write a book on the History of the Lvov School of Mathematics (he published only two articles: The Lvov School of Mathematics between the Wars, Wiadom.

It is a real pity that he did not finish this project.

Polish sociopolitical novelist and lyrical short-story writer whose experimental works savagely satirized Polish society after World War I. After working as a foreign correspondent and studying music in Brussels, Kaden-Bandrowski joined the military in 1914 in order to serve under Józef Pilsudski, the…

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Biographical sketch of this Ukrainian mathematician known for his contributions to topology and partial differential equations.

The history of the Scottish Book provides amazing insight into the mathematical environment in Lviv (Lwow) before World War II.

JuliuszSchauder and many others, frequently met in coffee houses "Cafe Roma" and "Cafe Szkocka" ("Scottish Cafe"), where they discussed many mathematical problems from a wide range of mathematics: summability theory, functional and real analysis, group theory, point set topology, measure theory, and probability.

Schauder is author of fixed point theorems for finite dimensional spaces, fixed point theorems for Banach spaces.

Ø Juliusz Pawel Schauder was born in Lwow on September 25, 1899 as a son of Regina and Zygmunt Schauder.

After the armistice 27,000 of the Austrian prisoners-of-war of Polish nationalily in Italy volunteered to join the Polish Army organized in France, and among them was JuliuszSchauder.

His military service ended the same year, and in the fall he started to study mathematics and physics at the Jan Kazimierz University of Lwów.

About JuliuszSchauder from JuliuszSchauder Center for Nonlinear Studies.

Theorems of Leray-Schauder Type and Applications by Donal O'Regan

Schauder's Estimates and Boundary Value Problems for Quasilinear Partial Differential Equations by Manfred Konig

www.lvov.us /famous-people (2463 words)

[No title](Site not responding. Last check: 2007-10-29)

Proceedings of the 3rd Polish Symposium on Nonlinear Analysis.

The present volume contains a selection of papers submitted by the participants of the Third Polish Symposium on Nonlinear Analysis held in Łódź, January 29-31, 2001, and organized by the Faculty of Mathematics of the Łódź University and the JuliuszSchauder Center of Nonlinear Studies at the Nicolaus Copernicus University in Toruń.

The main purpose of this Symposium was to integrate the large group of Polish researchers interested in different aspects of nonlinear problems, to present their recent results and to create a convenient platform for the exchange of scientific information and experience.

The idea of Zaremba used in his method was applied later on by Friedrichs and Levy in order to get known (now) integral inequalities satisfied by general solution of hyperbolic equations.

These inequalities have been generalised by JuliuszSchauder (and became some fundamental elements in the survey of the theory of hyperbolic equations).

He discussed for example, as it has been mentioned already, problems of Neumann and Fourier.

Working in LwówOrlicz participated in the famous meetings at the Scottish Cafè (Kawiarnia Szkocka) where Stefan Banach, Hugo Steinhaus, Stanisław Ulam, Stanisław Mazur, Marek Kac, JuliuszSchauder, Stefan Kaczmarz and many others talked about mathematical problems and looked for their solutions.

The group gained international recognition and was later described as the Lwów School of Mathematics}.

“functional analysis owes its magnificent development to Banach and his students, especially to Mazur, Orlicz and Schauder''.