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Get 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 neighborhood, died on the age of ninety on October 2, 2006. This quantity is a memorial to Paul by way of operator theorists he encouraged. Paul’sinitial research,beginning along 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 a subject matter 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 conception seemed in 1950. After 1960 Paul’s examine interested by Hilbert area operators, a subject matter he considered as enc- passing ?nite-dimensional linear algebra. past his examine, Paul contributed to arithmetic and to its neighborhood in manifold methods: as a well known expositor, as an cutting edge instructor, as a tireless editor, and during unstinting provider 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 incredible variety of friendships through the years, either with mathematicians and with nonmathematicians. a lot of his mathematical acquaintances, together with the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaul’sknee, discovered from his recommendation and his instance what it capacity 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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