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Five Hilbert Space Problems in Operator Algebras

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978-3-031-50535-5_20.pdf (514.18 KB)

Date

2022-11-03

Authors

Marcoux, Laurent

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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

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URI

https://doi.org/10.1007/s11785-022-01296-7
 http://hdl.handle.net/10012/20324

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Waterloo Research