Conditional weak compactness in certain inductive tensor products

DOI10.1007/BF01427942zbMath0234.46069OpenAlexW2037472096MaRDI QIDQ2551598

D. R. Lewis

Publication date: 1973

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162386

Mathematics Subject Classification ID

Tensor products in functional analysis (46M05)

Related Items (28)

On the reciprocal Dunford-Pettis property in projective tensor products ⋮ WEAK SEQUENTIAL CONTINUITY AND THE DUNFORD-PETTIS PROPERTY ⋮ Products of vector measures ⋮ \(L\)-sets and property \((SR^*)\) in spaces of compact operators ⋮ On topological properties of components of the surjective hull of the ideal of the quasi-p-nuclear operators ⋮ Integration of vector-valued functions with respect to vector measures defined on \(\delta \)-rings ⋮ The \(\alpha\)-approximation property and the weak topology in tensor products of Banach spaces ⋮ On the semi-reflexivity of biprojective tensor product spaces ⋮ Concerning the Szlenk index ⋮ Some properties of the injective tensor product of \(L^{p}\)[0,1 and a Banach space.] ⋮ Properties \((V)\) and \((wV)\) in projective tensor products ⋮ The Bartle bilinear integration and Carleman operators ⋮ Some properties of the injective tensor product of Banach spaces ⋮ On the tensor product of weakly compact operators ⋮ Tensor products of vector measures and sequences in the range of a vector measure ⋮ Spaces of compact operators and their dual spaces ⋮ Convergence theorems for Pettis integrable functions and regular methods of summability ⋮ Lebesgue-type spaces for vector integration, linear operators, weak completeness and weak compactness ⋮ On Banach spaces with the Gelfand-Phillips property. II ⋮ Operators on continuous function spaces and convergence in the spaces of operators ⋮ Weak sequential completeness of Banach operator ideals ⋮ The Segre cone of Banach spaces and multilinear mappings ⋮ Open problems in Banach spaces and measure theory ⋮ Uncomplementability of spaces of compact operators in larger spaces of operators ⋮ On weak compactness in the space of Pettis integrable functions ⋮ Strong additivity, absolute continuity, and compactness in spaces of measures ⋮ On Weak Sequential Completeness in Biprojective Tensor Product Spaces ⋮ Pointwise sequential compactness and weak compactness in spaces of contents

Cites Work

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• The structure of weakly compact sets in Banach spaces
• On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from \(L^{p}(\mu)\) to \(L^{r}(\nu)\)
• Hilbertian operators and reflexive tensor products
• Weak Compactness and Vector Measures
• Representations of linear continuous functionals on the space $C\left( {X,Y} \right)$ of continuous functions fromcompact $X$ into locally convex $Y$
• Measures and Tensors II
• On Integration in Vector Spaces
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

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