Sheldon Axler,Peter Rosenthal,Donald Sarason's A Glimpse at Hilbert Space Operators: Paul R. Halmos in PDF

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 group, died on the age of ninety on October 2, 2006. This quantity is a memorial to Paul via operator theorists he encouraged. Paul’sinitial research,beginning together with his 1938Ph.D. thesis on the college of Illinois less than Joseph Doob, used to be in likelihood, ergodic thought, and degree concept. A shift happened within the Fifties while Paul’s curiosity in foundations led him to invent an issue he termed algebraic common sense, leading to a succession of papers on that topic showing among 1954 and 1961, and the e-book Algebraic good judgment, released in 1962. Paul’s ?rst papers in natural operator concept seemed in 1950. After 1960 Paul’s study enthusiastic about Hilbert house operators, a topic 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 carrier to the yankee Mathematical Society and to the Mathematical organization of the USA. a lot of Paul’s in?uence ?owed at a private point. Paul had a real, uncalculating curiosity in humans; he built a huge variety of friendships through the years, either with mathematicians and with nonmathematicians. a lot of his mathematical associates, together with the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaul’sknee, realized from his suggestion and his instance what it capability 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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