By Sheldon Axler, Peter Rosenthal, Donald Sarason
The booklet is a commemorative quantity honoring the mathematician Paul R. Halmos (1916-2006), who contributed passionately to arithmetic in manifold methods, between them via simple study, by means of remarkable mathematical exposition, through unselfish carrier to the mathematical group, and, no longer least, by means of the muse others present in his commitment to that community.Halmos made basic contributions in numerous components of arithmetic. This quantity emphasises Halmos's contributions to operator conception, his venue for many of his mathematical lifestyles. The center of the quantity is a sequence of expository articles via famous operator theorists delivering an summary of the way operator concept prospered throughout the Halmos period, in no small degree because of Halmos's management and penetrating insights.
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Extra info for A Glimpse at Hilbert Space Operators: Paul R. Halmos in Memoriam
Glib as that is, it probably would not work. Problem courses do work. Students who have taken my problem courses were often complimented by their subsequent teachers. The compliments were on their alert attitude, on their ability to get to the heart of the matter quickly, and on their intelligently searching questions that showed that they understood what was happening in class. All this happened on more than one level, in calculus, in linear algebra, in set theory, and, of course, in graduate courses on measure theory and functional analysis.
Montevideo, Uruguay, 1952. (1953-1) Spectra and spectral manifolds. Ann. Soc. Polon. Math. 25 (1952), 43–49 (1953). (1953-2) Square roots of operators. Proc. Amer. Math. Soc. 4 (1953), 142–149 (with G. J. Sch¨ aﬀer). (1954-1) Commutators of operators. II. Amer. J. Math. 76 (1954), 191–198. (1954-2) Polyadic Boolean algebras. Proc. Nat. Acad. Sci. A. 40 (1954), 296–301. Publications of Paul R. Halmos 35 (1954-3) Square roots of operators. II. Proc. Amer. Math. Soc. 5 (1954), 589–595 (with G. Lumer).
Soc. ) 11 (1947), 81–84. (1948-1) The range of a vector measure. Bull. Amer. Math. Soc. 54 (1948), 416–421. (1949-1) On a theorem of Dieudonn´e. Proc. Nat. Acad. Sci. A. 35 (1949), 38–42. (1949-2) A nonhomogeneous ergodic theorem. Trans. Amer. Math. Soc. 66 (1949), 284–288. (1949-3) Application of the Radon–Nikodym theorem to the theory of suﬃcient statistics. Ann. Math. J. Savage). (1949-4) Measurable transformations. Bull. Amer. Math. Soc. 55 (1949), 1015–1034. (1950-1) The marriage problem. Amer.
A Glimpse at Hilbert Space Operators: Paul R. Halmos in Memoriam by Sheldon Axler, Peter Rosenthal, Donald Sarason