Operator theorists

Stefan Banach

Stefan Banach (Polish: [ˈstɛfan ˈbanax]; 30 March 1892 – 31 August 1945) was a Polish mathematician who is generally considered one of the 20th century's most important and influential mathematicians. He was the founder of modern functional analysis, and an original member of the Lwów School of Mathematics. His major work was the 1932 book, Théorie des opérations linéaires (Theory of Linear Operations), the first monograph on the general theory of functional analysis. Born in Kraków to a family of Goral descent, Banach showed a keen interest in mathematics and engaged in solving mathematical problems during school recess. After completing his secondary education, he befriended Hugo Steinhaus, with whom he established the Polish Mathematical Society in 1919 and later published the scientific journal Studia Mathematica. In 1920, he received an assistantship at the Lwów Polytechnic, subsequently becoming a professor in 1922 and a member of the Polish Academy of Learning in 1924. Banach was also a co-founder of the Lwów School of Mathematics, a school of thought comprising some of the most renowned Polish mathematicians of the interwar period (1918–1939). Some of the notable mathematical concepts that bear Banach's name include Banach spaces, Banach algebras, Banach measures, the Banach–Tarski paradox, the Hahn–Banach theorem, the Banach–Steinhaus theorem, the Banach–Mazur game, the Banach–Alaoglu theorem, and the Banach fixed-point theorem. (Wikipedia).

Stefan Banach
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Konstantin Mischaikow interviewed by Tomas Gedeon (October 26, 2022)

Konstantin Mischaikow interviewed by Tomas Gedeon (October 26, 2022) For more on the interview series, along with the advertisement posters, please see https://www.aatrn.net/interviews

From playlist AATRN Interviews

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Improved contraction methods for discrete boundary value problems

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From playlist Mathematical analysis and applications

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Christina Sormani: A Course on Intrinsic Flat Convergence part 3

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From playlist HIM Lectures 2015

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Hajime Ishihara: The constructive Hahn Banach theorem, revisited

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From playlist Workshop: "Constructive Mathematics"

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(PP 1.1) Measure theory: Why measure theory - The Banach-Tarski Paradox

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From playlist Probability Theory

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Fixed Point Iteration System of Equations with Banach

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From playlist Solving Systems of Nonlinear Equations

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Stefan Wenger - 21 September 2016

Wenger, Stefan "“Plateau’s problem in metric spaces and applications”"

From playlist A Mathematical Tribute to Ennio De Giorgi

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Zahlen und Geometrie. Antrittsvorlesung Prof. Peter Scholze

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From playlist Peter Scholze

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When do fractional differential equations have solutions bounded by the Mittag-Leffler function?

When do fractional differential equations have solutions bounded by the Mittag Leffler function? New research into this question! http://www.degruyter.com/view/j/fca.2015.18.issue-3/fca-2015-0039/fca-2015-0039.xml?format=INT Fract. Calc. Appl. Anal. 18, no. 3 (2015), 642-650. DOI: 10.15

From playlist Mathematical analysis and applications

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Hans Feichtinger: Fourier Analysis via the Banach Gelfand Triple

The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In this MATLAB-based presentation the author will explain how one can understand and illustrate the foundations of Gabor analysis with the help of MATLAB. From the point of view

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

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Banach fixed point theorem & differential equations

A novel application of Banach's fixed point theorem to fractional differential equations of arbitrary order. The idea involves a new metric based on the Mittag-Leffler function. The technique is applied to gain the existence and uniqueness of solutions to initial value problems. http://

From playlist Mathematical analysis and applications

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Der Nürnberger Prozess - Die Verteidigung (6/8) / Hauptkriegsverbrecher-Prozess

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From playlist Der Nürnberger Prozess - Die Verteidigung

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Ingrid Daubechies: Wavelet bases: roots, surprises and applications

This lecture was held by Ingrid Daubechies at The University of Oslo, May 24, 2017 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Ingrid Daubechies is a Belgian physicist and mathematician. She is best known for her work with wavelets in imag

From playlist Abel Lectures

Related pages

Hahn–Banach theorem | Metric space | Banach–Mazur theorem | Functional analysis | Uniform boundedness principle | Normed vector space | Frigyes Riesz | Banach fixed-point theorem | Banach measure | Banach–Stone theorem | Banach space | Cauchy space | Banach–Mazur game | L. E. J. Brouwer | Lebesgue integration | Banach algebra | Banach–Tarski paradox | Stanisław Mazur | Surjection of Fréchet spaces | Banach–Alaoglu theorem | Mathematics | Stanisław Zaremba (mathematician) | Poincaré–Birkhoff theorem | Mathematical problem | Hugo Steinhaus | Complete metric space | Stanislaw Ulam | Space (mathematics)