A Glimpse at Hilbert Space Operators

A Glimpse at Hilbert Space Operators

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Paul Richard Halmos, who lived a life of unbounded devotion to mathematics and to the mathematical community, died at the age of 90 on October 2, 2006. This volume is a memorial to Paul by operator theorists he inspired. Paula€™sinitial research, beginning with his 1938Ph.D. thesis at the University of Illinois under Joseph Doob, was in probability, ergodic theory, and measure theory. A shift occurred in the 1950s when Paula€™s interest in foundations led him to invent a subject he termed algebraic logic, resulting in a succession of papers on that subject appearing between 1954 and 1961, and the book Algebraic Logic, published in 1962. Paula€™s ?rst two papers in pure operator theory appeared in 1950. After 1960 Paula€™s research focused on Hilbert space operators, a subject he viewed as enc- passing ?nite-dimensional linear algebra. Beyond his research, Paul contributed to mathematics and to its community in manifold ways: as a renowned expositor, as an innovative teacher, as a tireless editor, and through unstinting service to the American Mathematical Society and to the Mathematical Association of America. Much of Paula€™s in?uence ?owed at a personal level. Paul had a genuine, uncalculating interest in people; he developed an enormous number of friendships over the years, both with mathematicians and with nonmathematicians. Many of his mathematical friends, including the editors ofthisvolume, whileabsorbingabundantquantitiesofmathematicsatPaula€™sknee, learned from his advice and his example what it means to be a mathematician.Paul Richard Halmos, who lived a life of unbounded devotion to mathematics and to the mathematical community, died at the age of 90 on October 2, 2006. This volume is a memorial to Paul by operator theorists he inspired.


Title:A Glimpse at Hilbert Space Operators
Author: Sheldon Axler, Peter Rosenthal, Donald Sarason
Publisher:Springer Science & Business Media - 2011-04-13
ISBN-13:

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