On Banach spaces with Mazur's property

DOI10.1017/S0017089500008028zbMath0745.46021MaRDI QIDQ3970517

Denny H. Leung

Publication date: 25 June 1992

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Schauder decompositionsstability of Mazur's property with respect to the formation of tensor productsunconditional sums of Banach spacesweak* sequentially continuous functional

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Tensor products in functional analysis (46M05)

Related Items (9)

On isomorphic classifications of spaces of compact operators ⋮ Compact spaces that result from adequate families of sets ⋮ On the Semadeni derivative of Banach spaces $C(K,X)$ ⋮ Geometric relations between spaces of nuclear operators and spaces of compact operators ⋮ Complete isomorphic classifications of some spaces of compact operators ⋮ Spaces of compact operators on \(C(2^{\mathfrak m}\oplus [0,\alpha)\) spaces] ⋮ A remark on non-separable solutions to the Schroeder--Bernstein problem for Banach spaces ⋮ On sequential properties of Banach spaces, spaces of measures and densities ⋮ A complete classification of the spaces of compact operators on $C([1,\alpha , l_{p})$ spaces, $1<p< \infty $]

Cites Work

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• On Banach spaces with the Gelfand-Phillips property
• Banach spaces with the condition of Mazur
• Mazur spaces
• On compactness in \(L_p(\mu,X)\) in the weak topology and in the topology \(\sigma(L_p(\mu,X),L_q(\mu,X'))\)

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