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 means of operator theorists he encouraged. Paul’sinitial research,beginning along with his 1938Ph.D. thesis on the college of Illinois below Joseph Doob, was once in chance, ergodic conception, and degree idea. 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 publication Algebraic good judgment, released in 1962. Paul’s ?rst papers in natural operator concept seemed in 1950. After 1960 Paul’s study considering Hilbert house operators, a topic he seen 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 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 a major 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 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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