Banach spaces with the condition of Mazur

DOI10.1007/BF01162352zbMath0658.46010MaRDI QIDQ1111128

Thomas Kappeler

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/173706

zbMATH Keywords

second dualGrothendieck spacesangelic spacesd-completed-complete AL-spacesMazur's conditionpermanence property of d-completeness with respect to inductive and projective tensor productssequentially weak* continuous

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Measures and integration on abstract linear spaces (46G12) Tensor products in functional analysis (46M05) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (14)

On Banach spaces with Mazur's property ⋮ On isomorphic classifications of spaces of compact operators ⋮ A note on Mackey topologies on Banach spaces ⋮ Compact spaces that result from adequate families of sets ⋮ Extending Edgar's ordering to locally convex spaces ⋮ The Mazur property and completeness in the space of Bochner-integrable functions L₁(μ, X) ⋮ On the Semadeni derivative of Banach spaces $C(K,X)$ ⋮ A NOTE ON GENERALIZED TAUBERIAN OPERATORS ⋮ 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 complete classification of the spaces of compact operators on $C([1,\alpha , l_{p})$ spaces, $1<p< \infty $] ⋮ Banach spaces with weak*-sequential dual ball ⋮ On two-sided estimates for the nonlinear Fourier transform of KdV

Cites Work

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• Mazur spaces
• On conjugate Banach-spaces with the Radon-Nikodym property
• The structure of weakly compact sets in Banach spaces
• On certain Banach spaces which are \(w^ *\)-sequentially dense in their second duals
• The Weak Topology of a Banach Space
• Smoothness and Weak Sequential Compactness
• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable

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