Five Hilbert Space Problems in Operator Algebras

Five Hilbert Space Problems in Operator Algebras

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.

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Veröffentlicht in:Complex analysis and operator theory 2022-11, Vol.16 (8), Article 116
1. Verfasser: Marcoux, L. W.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Hilbert space
Mathematics
Mathematics and Statistics
Multivariable Operator Theory. The Jörg Eschmeier Memorial
Operator Theory
Operators (mathematics)
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Zusammenfassung: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.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-022-01296-7