Genericity and amalgamation of classes of Banach spaces

DOI10.1016/j.aim.2006.05.013zbMath1109.03047OpenAlexW2020696529MaRDI QIDQ868918

Spiros A. Argyros, Pandelis Dodos

Publication date: 26 February 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2006.05.013

zbMATH Keywords

Banach spacesthin setsinterpolation methoduniversal spacesstrong boundednessco-analytic ranksSchauder tree bases

Mathematics Subject Classification ID

Descriptive set theory (03E15) Isomorphic theory (including renorming) of Banach spaces (46B03) Interpolation between normed linear spaces (46B70) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (23)

Bounded approximation properties in non-archimedean Banach spaces ⋮ Amalgamations of classes of Banach spaces with a monotone basis ⋮ Polish spaces of Banach spaces ⋮ On the Borelness of the intersection operation ⋮ Genericity of Fréchet smooth spaces ⋮ The cofinal property of the reflexive indecomposable Banach spaces ⋮ \(\xi\)-completely continuous operators and \(\xi\)-Schur Banach spaces ⋮ On the complexity of the uniform homeomorphism relation between separable Banach spaces ⋮ Coarse and Lipschitz universality ⋮ Uniformly factoring weakly compact operators ⋮ An ordinal indexing on the space of strictly singular operators ⋮ ON STRICTLY SINGULAR OPERATORS BETWEEN SEPARABLE BANACH SPACES ⋮ Analytic sets of Banach spaces ⋮ Choice free fixed point property in separable Banach spaces ⋮ Codings of separable compact subsets of the first Baire class ⋮ Duality on Banach spaces and a Borel parametrized version of Zippin's theorem ⋮ Classes of strictly singular operators and their products ⋮ Non-universal families of separable Banach spaces ⋮ Uniformly factoring weakly compact operators and parametrised dualisation ⋮ Zippin’s embedding theorem and amalgamations of classes of Banach spaces ⋮ On classes of Banach spaces admitting ‘‘small” universal spaces ⋮ On the complexity of some classes of Banach spaces and non-universality ⋮ Upper and lower estimates for Schauder frames and atomic decompositions

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