Banach Space Properties of Ciesielski-Pol's C(K) Space

DOI10.2307/2047090zbMath0666.46019OpenAlexW4241631140MaRDI QIDQ3817143

Jan Pelant, Gilles Godefroy, J. H. M. Whitfield, Václav Zizler

Publication date: 1988

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047090

zbMATH Keywords

renormingthree space problem\(C^{\infty }\)-normsinjections into \(c_ 0(\Gamma )\)

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Counterexamples in general topology (54G20) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (12)

Smooth norms on certain $C(K)$ spaces ⋮ The Szlenk index and the fixed point property under renorming ⋮ On the problem of compact totally disconnected reflection of nonmetrizability ⋮ The fixed point property under renorming in some classes of Banach spaces ⋮ The three space problem for smooth partitions of unity and \(C(K)\) spaces ⋮ Smoothing of bump functions ⋮ Smooth partitions of unity in preduals of WCG spaces ⋮ Polyhedrality in Orlicz spaces ⋮ Locally flat Banach spaces ⋮ A renorming of some nonseparable Banach spaces with the fixed point property ⋮ Smooth Partitions of Unity on Certain C(K) Spaces ⋮ Trees, Gâteaux norms and a problem of Haydon

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