Extensions of a Theorem of Fuglede and Putnam
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Publication:4169814
DOI10.2307/2042229zbMath0388.47019OpenAlexW4234039361MaRDI QIDQ4169814
Publication date: 1978
Full work available at URL: https://doi.org/10.2307/2042229
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47)
Related Items (22)
On Relaxation of Normality in the Fuglede-Putnam Theorem ⋮ The Berberian's transform and an asymmetric Putnam-Fuglede theorem ⋮ Putnam-Fuglede type theorem for class \(\mathcal{A}_k\) operators ⋮ YET MORE VERSIONS OF THE FUGLEDE–PUTNAM THEOREM ⋮ Fuglede-Putnam theorem for \((\alpha,\beta)\)-normal operators ⋮ An extension of Fuglede-Putnam theorem for \(w\)-hyponormal operators ⋮ An Extension of the Fuglede-Putnam Theorem to Subnormal Operators Using a Hilbert-Schmidt Norm Inequality ⋮ Putnam's inequality and elementary operators ⋮ On Fuglede-Putnam properties ⋮ Class \(wA(s,t)\) operators and quasisimilarity ⋮ A strict maximum modulus theorem for certain Banach spaces ⋮ On Quasi-Class A Operators ⋮ A Hilbert-Schmidt norm inequality associated with the Fuglede-Putnam theorem ⋮ On the classes of (n,m)-power D-normal and (n,m)-power D-quasi-normal operators ⋮ Fuglede-Putnam type theorems via the generalized Aluthge transform ⋮ Fuglede–Putnam type theorems via the generalized second Aluthge transform ⋮ On generalised Putnam-Fuglede theorems ⋮ A Hilbert-Schmidt norm inequality associated with the Fuglede-Putnam theorem ⋮ Generalizations of some classical theorems to \(D\)-normal operators on Hilbert spaces ⋮ Spectral properties for some extensions of isometric operators ⋮ Commutativity theorems for normaloid Hilbert space operators ⋮ A remark on generalised Putnam-Fuglede theorems
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