An asymmetric Putnam–Fuglede theorem for unbounded operators

DOI10.1090/S0002-9939-01-06127-5zbMath0981.47020MaRDI QIDQ2718999

Jan Stochel

Publication date: 14 May 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

unbounded operatorshyponormal operatorintertwining relationsubnormal operatorpartial isometrynormal operatorPutnam-Fuglede interwining theorem

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (13)

The Berberian's transform and an asymmetric Putnam-Fuglede theorem ⋮ YET MORE VERSIONS OF THE FUGLEDE–PUTNAM THEOREM ⋮ A hyponormal weighted shift on a directed tree whose square has trivial domain ⋮ An all-unbounded-operator version of the Fuglede-Putnam theorem ⋮ On an elementary operator with \(w\)-hyponormal operator entries ⋮ An extension of Fuglede-Putnam theorem for \(w\)-hyponormal operators ⋮ Right (or left) invertibility of bounded and unbounded operators and applications to the spectrum of products ⋮ Unbounded products of operators and connections to Dirac-type operators ⋮ Maximality of linear operators ⋮ Lebesgue type decompositions for nonnegative forms ⋮ Unnamed Item ⋮ Asymmetric Fuglede-Putnam theorem for unbounded \(M\)-hyponormal operators ⋮ Weighted shifts on directed trees

Cites Work

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• A Note on Intertwining M-Hyponormal Operators
• On Majorization and Normality of Operators
• On Relaxation of Normality in the Fuglede-Putnam Theorem
• On unbounded hyponormal operators III
• A quasi-affine transform of an unbounded operator
• On Normal Operators in Hilbert Space
• Seminormal operators
• On dominant operators

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