Isometric embedding of Banach spaces under optimal projection constants

DOI10.1016/j.bulsci.2021.102968zbMath1468.46016arXiv2012.10849OpenAlexW3135476979MaRDI QIDQ2662355

Cleon S. Barroso

Publication date: 13 April 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10849

zbMATH Keywords

isometric embeddingfixed point propertyunconditional basisZippin's theoremshrinking FDDFDD of Banach spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Isomorphic theory (including renorming) of Banach spaces (46B03) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (1)

Basis selection and fixed point results for affine mappings

Cites Work

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• Banach spaces and descriptive set theory: selected topics
• Unconditional bases and fixed points of nonexpansive mappings
• A Banach space without a basis which has the bounded approximation property
• Factoring weakly compact operators
• On Zippin's embedding theorem of Banach spaces into Banach spaces with bases
• A characterization of subspaces and quotients of reflexive Banach spaces with unconditional bases
• A remark on bases and reflexivity in Banach spaces
• Some problems on bases in Banach and Frechet spaces
• Zippin’s embedding theorem and amalgamations of classes of Banach spaces
• Some strongly bounded classes of Banach spaces
• Banach Spaces With Separable Duals
• Schauder bases and the bounded approximation property in separable Banach spaces
• James quasi reflexive space has the fixed point property
• Slicings, Selections and Their Applications
• On Nonexpansive Mappings
• Smooth analysis in Banach spaces
• Biorthogonal systems in Banach spaces

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