Smooth noncompact operators from \(C(K)\), \(K\) scattered

DOI10.1007/s11856-007-0086-7zbMath1140.47020OpenAlexW1998866110MaRDI QIDQ926396

Petr Hájek, Robert Deville

Publication date: 27 May 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-007-0086-7

zbMATH Keywords

summabilitysmooth operators\(C^{1,u}\)-smooth operatornoncompact operatorsnoncompact polynomial operatorPelcyznski theoremscattered compact

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Linear operators on function spaces (general) (47B38) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Multilinear and polynomial operators (47H60)

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On uniformly differentiable mappings from \(\ell_\infty(\Gamma)\) ⋮ Extensions of smooth mappings into biduals and weak continuity ⋮ Polynomial algebras and smooth functions in Banach spaces ⋮ Weakly sequentially continuous differentiable mappings

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