A Glimpse at Hilbert Space Operators: Paul R. Halmos in - download pdf or read online

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, was once in chance, ergodic concept, and degree thought. A shift happened within the Fifties while 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 idea seemed in 1950. After 1960 Paul’s learn enthusiastic about Hilbert area 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 yankee 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 constructed a major variety of friendships through the years, either with mathematicians and with nonmathematicians. lots of his mathematical acquaintances, together with the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaul’sknee, realized from his suggestion and his instance what it ability 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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