Equivalent norms on spaces of bounded functions

DOI10.1007/BF02761190zbMath0432.46017OpenAlexW2048537623WikidataQ56319635 ScholiaQ56319635MaRDI QIDQ1138757

Jonathan R. Partington

Publication date: 1980

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761190

zbMATH Keywords

equivalent normsfirst uncountable ordinalspaces of bounded functions

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Ordinal and cardinal numbers (03E10)

Related Items (20)

Remarks on James's distortion theorems II ⋮ Quotients, \(\ell_\infty\) and abstract Cesàro spaces ⋮ The Szlenk index and the fixed point property under renorming ⋮ The fixed point property under renorming in some classes of Banach spaces ⋮ Fixed points of nonexpansive mappings ⋮ Isometries of spaces of Radon measures ⋮ On non-separable \(L^1\)-spaces of a vector measure ⋮ Fixed point theory and nonexpansive mappings ⋮ Descriptive theory of nearest points in Banach spaces ⋮ Sur les espaces de Banach contenant \(l^ 1(\tau)\) ⋮ Isometric copies of \(c_0\) and \(\ell^{\infty}\) in duals of Banach spaces ⋮ Copies of \(c_{0}(\Gamma)\) and \(\ell _{\infty }(\Gamma)/c_{0}(\Gamma)\) in quotients of Banach spaces with applications to Orlicz and Marcinkiewicz spaces ⋮ Renorming Banach spaces with the Mazur intersection property ⋮ Symmetrically separated sequences in the unit sphere of a Banach space ⋮ A renorming of some nonseparable Banach spaces with the fixed point property ⋮ Smooth norms in dense subspaces of Banach spaces ⋮ Asymptotically isometric copies of \(c_0\) and renormings of Banach spaces ⋮ Banach lattices with order isometric copies of \(l^\infty\) ⋮ A distortion problem for the space \(\ell_\infty^c(\omega_1)\) ⋮ Asymptotically isometric copies of ℓ^{∞} in Banach spaces and a theorem of Bessaga and Pelczynski

Cites Work

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• Set theory. With an introduction to descriptive set theory. Translation of the original Polish edition. 2nd, completely revised ed
• Uniformly non-square Banach spaces
• Strict Convexity and Smoothness of Normed Spaces

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