Read e-book online A Glimpse at Hilbert Space Operators: Paul R. Halmos in PDF

By Sheldon Axler,Peter Rosenthal,Donald Sarason

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 collage of Illinois lower than Joseph Doob, was once in likelihood, ergodic conception, and degree thought. A shift happened within the Fifties whilst 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 publication Algebraic common sense, released in 1962. Paul’s ?rst papers in natural operator thought seemed in 1950. After 1960 Paul’s learn all for Hilbert house operators, a subject matter he seen as enc- passing ?nite-dimensional linear algebra. past his study, Paul contributed to arithmetic and to its group in manifold methods: as a well known expositor, as an leading edge instructor, as a tireless editor, and during unstinting carrier to the yank Mathematical Society and to the Mathematical organization of the US. a lot of Paul’s in?uence ?owed at a private point. Paul had a real, uncalculating curiosity in humans; he built an immense variety of friendships through the years, either with mathematicians and with nonmathematicians. lots of his mathematical pals, together with the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaul’sknee, discovered from his recommendation 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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