Weak compactness in spaces of differentiable mappings

DOI10.1216/RMJM/1181072241zbMath0832.46015OpenAlexW2020597911MaRDI QIDQ1898284

Joaquín M. Gutiérrez, González, Manuel

Publication date: 5 March 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072241

zbMATH Keywords

weakly compact subsetsDunford-Pettis property of a Banach spacespaces of \(k\)-times continuously differentiable mappings between real Banach spacesweak sequential continuity of the composition mapweakly compact homomorphism between algebras of differentiable functions

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (2)

On the reflexivity of \(\mathcal {P}_{w}(^{n}E;F)\) ⋮ Weak sequential completeness of spaces of homogeneous polynomials

Cites Work

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• Homomorphisms between algebras of differentiable functions in infinite dimensions
• Weakly compact sets. Lectures held at S.U.N.Y., Buffalo, in spring 1978
• Weak compactness in spaces of compact operators and of vector-valued functions
• Differential calculus in locally convex spaces
• Spaces of compact operators
• Composition Operators Between Algebras of Differentiable Functions
• Weak Continuity of a Composition Map Between Spaces of Compact Operators and Banach Valued Continuous Functions
• An example on composite differentiable functions in infinite dimensions
• Duals of spaces of compact operators
• Compact and Weakly Compact Homomorphisms Between Algebras of Differentiable Functions
• Polynomial approximation of differentiable functions on Banach spaces.

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