Five Hilbert Space Problems in Operator Algebras
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Date
2022-11-03
Authors
Marcoux, Laurent
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
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.
Description
This is a post-peer-review, pre-copyedit version of an article published in Complex Analysis and Operator Theory. The final authenticated version is available online at: https://doi.org/10.1007/s11785-022-01296-7
Keywords
nilpotents, biquasitriangular, algebraic elements, commutators, Specht's theorem, similarity orbits