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Download A Glimpse at Hilbert Space Operators: Paul R. Halmos in by Sheldon Axler,Peter Rosenthal,Donald Sarason 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 by way of operator theorists he encouraged. Paul’sinitial research,beginning along with his 1938Ph.D. thesis on the college of Illinois less than Joseph Doob, used to be in likelihood, ergodic conception, and degree concept. A shift happened within the Nineteen 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 booklet Algebraic good judgment, released in 1962. Paul’s ?rst papers in natural operator conception seemed in 1950. After 1960 Paul’s learn thinking about Hilbert area operators, an issue 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 well known 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 USA. a lot of Paul’s in?uence ?owed at a private point. Paul had a real, uncalculating curiosity in humans; he constructed an important variety of friendships through the years, either with mathematicians and with nonmathematicians. lots of his mathematical buddies, 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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