Banach spaces which are uniformly non-square over blocks and related properties

DOI10.1016/S0362-546X(97)00607-XzbMath0955.46006OpenAlexW2021916573MaRDI QIDQ4264287

Denka Kutzarova, Theodossios Zachariades

Publication date: 14 February 2001

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00607-x

zbMATH Keywords

Cesàro meansfixed point propertyweak Banach-Saks propertyJames spacespreading modeluniformly convex spacesalternate signs Banach-Saks propertyJames tree spacesorthogonally convex spacesSchauder finite dimensional decompositionspaces with the Schur propertyuniformly nonsquare over blocks

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Cites Work

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• Weakly null sequences in James spaces on trees
• An arbitrarily distortable Banach space
• Uniformly non-square Banach spaces
• The Unconditional Basic Sequence Problem
• Normal Structure for Banach Spaces with Schauder Decomposition
• Banach-Saks properties and spreading models.
• OnB-convex Banach spaces
• A separable somewhat reflexive Banach space with nonseparable dual
• Uniformly non-$l^{(1)}$ and B-convex Banach spaces

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