The elementary operator and Fuglede-Putnam theorem for a class of essentially commuting almost normal operators with finite modulus of Hilbert-Schmidt quasitriangularity

DOI10.1007/s12215-020-00522-5OpenAlexW3087808697MaRDI QIDQ2047446

Vasile Lauric

Publication date: 20 August 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00522-5

zbMATH Keywords

essentially commuting almost hyponormal operatorsessentially commuting almost normal operatorsgeneralized Fuglede-Putnam theoremHilbert-Schmidt modulus of quasitriangularity

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Commutators, derivations, elementary operators, etc. (47B47)

Cites Work

• Almost normal operators mod Hilbert-Schmidt and the \(K\)-theory of the algebras \(E \Lambda (\Omega)\)
• An Extension of the Fugledge Commutativity Theorem Modulo the Hilbert- Schmidt Class to Operators of the Form ΣM n XN n
• The Fugledge Commutativity Theorem Modulo the Hilbert-Schmidt Class and Generating Functions for Matrix Operators. I
• Some Remarks on the Fuglede-Weiss Theorem
• An Elementary Approach to Elementary Operators on B(H)
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