The Putnam-Fuglede property for paranormal and *-paranormal operators

DOI10.7494/OpMath.2013.33.3.565zbMath1315.47025OpenAlexW2048729478MaRDI QIDQ2851293

Patryk Pagacz

Publication date: 10 October 2013

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2013.33.3.565

zbMATH Keywords

power bounded operators\(\ast\)-paranormal operators\(k\)-paranormal operatorsparanormal operatorsPutnam-Fuglede theorem\(k\ast\)-paranormal operatorscompletely nonunitary operators

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Equations involving linear operators, with operator unknowns (47A62) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (8)

The Berberian's transform and an asymmetric Putnam-Fuglede theorem ⋮ Fuglede-Putnam theorem for \((\alpha,\beta)\)-normal operators ⋮ Asymptotic limits of operators similar to normal operators ⋮ Operators satisfying a similarity condition ⋮ A Putnam-Fuglede commutativity property for Hilbert space operators ⋮ PF property and property \((\beta )\) for paranormal operators ⋮ Power bounded m-left invertible operators ⋮ Asymmetric Putnam-Fuglede theorem for \((n,k)\)-quasi-\(\ast\)-paranormal operators

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