A Glimpse at Hilbert Space Operators: Paul R. Halmos in by Sheldon Axler, Peter Rosenthal, Donald Sarason

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By Sheldon Axler, Peter Rosenthal, Donald Sarason

This commemorative quantity honors mathematician Paul R. Halmos, whose examine, unprecedented mathematical exposition, and commitment to provider made an enormous effect at the arithmetic group. quite a few articles speak about his contributions to the operator theory.

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It doesn’t take a psychoanalyst to figure out why we failed: we wanted to postpone this last goodbye to Paul Halmos. But the time has now come. Goodbye, Paul; thanks very much for so much. edu Operator Theory: Advances and Applications, Vol. R. Halmos ∗ G. Piranian Halmos delivers a vigorous piece of his mind on the craft of writing. His principal message concerns the spiral plan, whose wide adoption would certainly raise the standards of mathematical prose in our books and journals. Lest readers deceive themselves and believe that they need not go to the original paper, I abstain from describing the plan.

Math. Szeged 34 (1973), 131–139. (1974-1) Spectral approximants of normal operators. Proc. Edinburgh Math. Soc. (2) 19 (1974/75), 51–58. (1974-2) How to talk mathematics. Notices Amer. Math. Soc. 21 (1974), 155–158. (1975-1) What to publish. Amer. Math. Monthly 82 (1975), 14–17. (1976-1) Products of involutions. Linear Algebra and Appl. H. Gustafson and H. Radjavi). (1976-2) American mathematics from 1940 to the day before yesterday. Amer. Math. H. H. H. H. P. Ziemer). (1976-3) Some unsolved problems of unknown depth about operators on Hilbert space.

Students”) wrote, in his introduction to Paul’s selected works, “Halmos embodies the ideal mixture of researcher and teacher. In him, each role is indistinguishable from the other. ” This is a mathematical autobiography, and contains much advice that is very useful to all mathematicians and to all those who aspire to be mathematicians. ” Obituary: Paul Halmos, 1916–2006 29 Paul’s self-evaluation may be quite accurate, but it is important to understand how high a standard he was setting for himself.

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