The scattered range problem of elementary operators on \(\mathcal{B}(\mathcal{H})\)

DOI10.1007/s10114-024-3346-0MaRDI QIDQ6652633

Peng Cao, Cun Wang

Publication date: 12 December 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

compact operatorinner derivationelementary operatorscattered element

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Spectrum, resolvent (47A10) Commutators, derivations, elementary operators, etc. (47B47) Operators on Hilbert spaces (general) (47B02)

Cites Work

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• Commutators of quasinilpotents and invariant subspaces
• Derivations mapping into the socle
• Derivations mapping into scattered operators
• Topological Radicals, V. From Algebra to Spectral Theory
• Elementary Operators that are Spectrally Bounded

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