An Extension of the Fugledge Commutativity Theorem Modulo the Hilbert- Schmidt Class to Operators of the Form ΣM n XN n

DOI10.2307/1999299zbMath0532.47013OpenAlexW4232038793MaRDI QIDQ3314404

Gary Weiss

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2307/1999299

zbMATH Keywords

elementary operatorsfinite rank operatorstrace class operatorsreproducing kernel functionFuglede's TheoremHilbert-Schmidt class to operatorstrace class duality

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Commutators, derivations, elementary operators, etc. (47B47) Equations involving linear operators, with operator unknowns (47A62) Structure theory of linear operators (47A65)

Related Items (7)

On a theorem of Weiss ⋮ An Elementary Approach to Elementary Operators on B(H) ⋮ Some estimates of certain subnormal and hyponormal derivations ⋮ Range-kernel orthogonality of the elementary operator \(X\to\sum_{i=1}^n A_iXB_i - X\) ⋮ Operator synthesis II: Individual synthesis and linear operator equations ⋮ The elementary operator and Fuglede-Putnam theorem for a class of essentially commuting almost normal operators with finite modulus of Hilbert-Schmidt quasitriangularity ⋮ Elementary operators and orthogonality.

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