The sets of monomorphisms and of almost open operators between locally convex spaces

DOI10.1090/S0002-9939-01-06248-7zbMath1007.46003OpenAlexW1562652375MaRDI QIDQ2750866

José Bonet, J. Alberto Conejero

Publication date: 21 October 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06248-7

zbMATH Keywords

locally convex spacesmonomorphismsapproximate point spectrumtopological divisors of zerobounded below operatorsquasinormable spacesalmost open operatorsnormed algebra of all operatorsPaley-Wiener perturbation theory

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) General theory of locally convex spaces (46A03) Spaces of linear operators; topological tensor products; approximation properties (46A32) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Linear spaces of operators (47L05) Topological algebras of operators (46H35)

Related Items (1)

Embedding the weighted space $Hv_0(G, E)$ of holomorphic functions into the sequence space $c_0(E)$

Cites Work

• Almost Open Mappings between Normed Spaces
• Frécheträume, zwischen denen jede stetige lineare Abbildung beschränkt ist.
• 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
• Generalizing the Paley-Wiener perturbation theory for Banach spaces
• On the Identity L(E, F) = LB(E, F) for Pairs of Locally Convex Spaces E and F
• A Characterization of Quasinormable Kothe Sequence Spaces
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