Quotients of \(C[0,1]\) with separable dual

DOI10.1007/BF02761174zbMath0375.46027OpenAlexW3159217338MaRDI QIDQ1246120

Dale E. Alspach

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1007/bf02761174

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (10)

On Separable Banach Spaces, Universal for all Separable Reflexive Spaces ⋮ Operators on $C(K)$ spaces preserving copies of Schreier spaces ⋮ Banach spaces determined by their uniform structures ⋮ Operators whose dual has non-separable range ⋮ A note on operators fixing cotype subspaces of $C[0,1$] ⋮ On monotonic functions from the unit interval into Banach spaces ⋮ Shellable weakly compact subsets of \(C[0,1\)] ⋮ \(C(K)\) quotients of separable \(\mathcal L_\infty\) spaces ⋮ The dual of the Bourgain-Delbaen space ⋮ Operators on \(C[0,1\) preserving copies of asymptotic \(\ell_1\) spaces]

Cites Work

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• The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces
• On C(S)-subspaces of separable Banach spaces

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