Five Hilbert Space Problems in Operator Algebras

L. W. Marcoux ()
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L. W. Marcoux: University of Waterloo, Department of Pure Mathematics

A chapter in Multivariable Operator Theory, 2023, pp 515-529 from Springer

Abstract: Abstract A number of questions which have been solved over the years in the theory of single operators acting on Hilbert space have interesting analogues when recast in the setting of elements of C∗-algebras. We list five of these, as well as a number of “sub-problems” arising from them

Keywords: Nilpotents; Biquasitriangular; Algebraic elements; Commutators; Specht’s theorem; Similarity orbits; Primary 46C15; Secondary 47-02 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-50535-5_20

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DOI: 10.1007/978-3-031-50535-5_20

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