Equivalents of the Invariant Subspace Problem

Peter Rosenthal
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Peter Rosenthal: University of Toronto, Department of Mathematics

A chapter in PAUL HALMOS Celebrating 50 Years of Mathematics, 1991, pp 179-188 from Springer

Abstract: Abstract Paul Halmos has shaped much of modern operator theory through his published research, insightful questions, and beautiful expositions. The invariant sub-space problem was not originally due to Halmos (von Neumann showed that compact operators have invariant sub-spaces back in the 1930’s [2]), but he played a vital role in arousing interest in the problem through his lectures and writings, and in suggesting the investigation of special cases that turned out to prove to be very fruitful.

Keywords: Hilbert Space; Invariant Subspace; Compact Operator; Universal Operator; Frechet Space (search for similar items in EconPapers)
Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0967-6_22

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DOI: 10.1007/978-1-4612-0967-6_22

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