A note on Banach spaces containing \(c_ 0\) or \(C_{\infty}\)

DOI10.1016/0022-1236(85)90016-3zbMath0581.46016OpenAlexW1994140908MaRDI QIDQ1068320

Wolfgang Lusky

Publication date: 1985

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90016-3

zbMATH Keywords

Banach-Mazur distancebounded approximation property

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (9)

Genericity and amalgamation of classes of Banach spaces ⋮ TOPOLOGIES ON THE SET OF ALL SUBSPACES OF A BANACH SPACE AND RELATED QUESTIONS OF BANACH SPACE GEOMETRY ⋮ Phelps spaces and finite dimensional decompositions ⋮ When Kalton and Peck met Fourier ⋮ Three-space problems for the approximation property ⋮ An Ando–Choi–Effros lifting theorem respecting subspaces ⋮ Three space properties and basis extensions ⋮ Complementably universal Banach spaces. II. ⋮ Three-Space Problems for the Approximation Properties

Cites Work

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• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• Factoring compact operators
• Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic

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