New PDF release: A Glimpse at Hilbert Space Operators: Paul R. Halmos in

By Sheldon Axler,Peter Rosenthal,Donald Sarason

ISBN-10: 3034603460

ISBN-13: 9783034603461

ISBN-10: 3034803109

ISBN-13: 9783034803106

Paul Richard Halmos, who lived a lifetime of unbounded devotion to arithmetic and to the mathematical neighborhood, died on the age of ninety on October 2, 2006. This quantity is a memorial to Paul by means of operator theorists he encouraged. Paul’sinitial research,beginning together with his 1938Ph.D. thesis on the collage of Illinois less than Joseph Doob, was once in likelihood, ergodic idea, and degree conception. A shift happened within the Nineteen Fifties whilst Paul’s curiosity in foundations led him to invent a topic he termed algebraic good judgment, leading to a succession of papers on that topic showing among 1954 and 1961, and the publication Algebraic common sense, released in 1962. Paul’s ?rst papers in natural operator conception seemed in 1950. After 1960 Paul’s study considering Hilbert area operators, a subject matter he considered as enc- passing ?nite-dimensional linear algebra. past his study, Paul contributed to arithmetic and to its neighborhood in manifold methods: as a popular expositor, as an leading edge instructor, as a tireless editor, and during unstinting provider to the yankee Mathematical Society and to the Mathematical organization of the United States. a lot of Paul’s in?uence ?owed at a private point. Paul had a real, uncalculating curiosity in humans; he constructed an immense variety of friendships through the years, either with mathematicians and with nonmathematicians. lots of his mathematical associates, together with the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaul’sknee, discovered from his recommendation and his instance what it skill to be a mathematician.

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A Glimpse at Hilbert Space Operators: Paul R. Halmos in Memoriam: 207 (Operator Theory: Advances and Applications) by Sheldon Axler,Peter Rosenthal,Donald Sarason

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