Extensions of smooth mappings into biduals and weak continuity

DOI10.1016/j.aim.2012.11.001zbMath1280.46051OpenAlexW2093702823WikidataQ57618268 ScholiaQ57618268MaRDI QIDQ1935190

Petr Hájek, Yun Sung Choi, Han Ju Lee

Publication date: 11 February 2013

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2012.11.001

zbMATH Keywords

Dunford-Pettis propertysmoothnessapproximation by polynomialsTaylor polynomialsextension to bidualsextensions of multilinear mappingsuniformly differentiable mappings

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Continuous and differentiable maps in nonlinear functional analysis (46T20)

Related Items (4)

On uniformly differentiable mappings from \(\ell_\infty(\Gamma)\) ⋮ Lipschitz retractions and complementation properties of Banach spaces ⋮ Polynomial algebras and smooth functions in Banach spaces ⋮ Duality in spaces of polynomials of degree at most \(n\)

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