An image problem for compact operators

DOI10.1090/S0002-9939-05-08084-6zbMath1081.47004OpenAlexW2011811000WikidataQ56319308 ScholiaQ56319308MaRDI QIDQ3372124

Isabelle Chalendar, Jonathan R. Partington

Publication date: 17 February 2006

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08084-6

zbMATH Keywords

dense-range injective compact mappingsexistence of a dense-range and injective compact operator

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Invariant subspaces of linear operators (47A15) Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. (47A46)

Related Items (1)

Operator ranges and endomorphisms with a prescribed behaviour on Banach spaces

Cites Work

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• Construction of operators with prescribed behaviour
• Extension of Uniformly Minimal M -Basic Sequences in Banach Spaces
• On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²
• On injective or dense-range operators leaving a given chain of subspaces invariant

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