On the existence of invariant subspaces and reflexivity of \(N\)-tuples of operators

DOI10.11650/twjm/1500405684zbMath0901.47029OpenAlexW4252480745MaRDI QIDQ1371046

Marek Ptak

Publication date: 25 November 1998

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405684

zbMATH Keywords

invariant subspacequasinormal operatorfunctional calculusTaylor spectrumdual algebrasubdirect sumspherical isometriesreflexive operator algebraHarte spectrumdoubly commutejointly quasinormal operatorsreflexivity for families of commuting linear bounded Hilbert space operators

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Abstract operator algebras on Hilbert spaces (47L30) Dual algebras; weakly closed singly generated operator algebras (47L45) Invariant subspaces of linear operators (47A15)

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