A Note on the Operator X →AX - XB

DOI10.2307/1997760zbMath0397.47002OpenAlexW2058636391MaRDI QIDQ4180816

Lawrence A. Fialkow

Publication date: 1978

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

Full work available at URL: https://doi.org/10.2307/1997760

zbMATH Keywords

Essential SpectrumOperator EquationsQuasisimilarityRosenblum's Theorem

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Equations involving linear operators, with operator unknowns (47A62)

Related Items (10)

On the \(S\)-universal elementary operators ⋮ Elementary operators on prime \(C^*\)-algebras. I ⋮ A note on norm ideals and the operator \(X\to AX-XB\) ⋮ Essential Spectra of Elementary Operators ⋮ Rank equalities and inequalities for Kronecker products of matrices with applications. ⋮ Similarity orbits in the Calkin algebra ⋮ Dynamics of generalised derivations and elementary operators ⋮ A Note on Elementary Operators on the Calkin Algebra ⋮ Weyl's theorem and quasi-similarity ⋮ Perturbations of shifts

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