A local spectral condition for strong compactness with some applications to bilateral weighted shifts

DOI10.1090/S0002-9939-2013-11764-8zbMath1284.47021arXiv1208.3245OpenAlexW2040204854MaRDI QIDQ2862187

María del Pilar Romero de la Rosa, Miguel Lacruz

Publication date: 14 November 2013

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

Full work available at URL: https://arxiv.org/abs/1208.3245

zbMATH Keywords

spectrumlocal spectral radiusbilateral weighted shiftstrongly compact operators

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Local spectral properties of linear operators (47A11)

Related Items (1)

Composition operators with a minimal commutant

Cites Work

• Sesquitransitive and localizing operator algebras
• Construction of an intertwining operator
• Operator semigroups, flows, and their invariant sets
• On the commutant of hyponormal operators
• On the local spectral properties of weighted shift operators
• Strongly compact normal operators
• Orbits, weak orbits and local capacity of operators
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