Multiplication operators and traces of commutators

DOI10.1007/BF02107262zbMath0569.47026OpenAlexW1977871501MaRDI QIDQ1061366

Viktor S. Shul'man

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02107262

zbMATH Keywords

commutatorstrace class operatorsquasidiagonal operators

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)

Related Items (3)

Matrix representations of arbitrary bounded operators on Hilbert spaces ⋮ On the interplay between operators, bases, and matrices ⋮ Band-diagonal operators

Cites Work

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• Commutants and derivation ranges
• The range of a normal derivation
• Hyponormal operators
• Some unsolved problems of unknown depth about operators on Hilbert space
• The Fugledge Commutativity Theorem Modulo the Hilbert-Schmidt Class and Generating Functions for Matrix Operators. I
• Ten problems in Hilbert space
• Smooth operators and commutators
• A Commutativity Theorem for Normal Operators

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