(S+N)-triangular operators: spectral properties and important examples

DOI10.1002/mana.201500064zbMath1356.47044arXiv1501.02831OpenAlexW2253194216MaRDI QIDQ2832680

Lev A. Sakhnovich

Publication date: 11 November 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02831

zbMATH Keywords

invariant subspacespectral operatormaximal chain of orthogonal projectionstriangular representation

Mathematics Subject Classification ID

Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

Related Items (3)

Triangular representations of functions of operators with Schatten–von Neumann Hermitian components ⋮ Norm estimates for resolvents of linear operators in a Banach space and spectral variations ⋮ Spectrum perturbations of linear operators in a Banach space

Cites Work

• Growth conditions, compact perturbations and operator subdecomposability, with applications to generalized Cesàro operators
• A criterion for Hill operators to be spectral operators of scalar type
• Spectral operators
• Regularity criteria for Banach function algebras
• Growth Conditions and Decomposable Operators
• A survey of the theory of spectral operators
• Super-Diagonal Forms for Compact Linear Operators
• Subdiagonalization of operators in Hilbert space with compact imaginary part
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