Nontrivial twisted sums of \(c_{0}\) and \(C(K)\)

DOI10.1016/j.jfa.2015.11.002zbMath1347.46014arXiv1505.06727OpenAlexW2963410350MaRDI QIDQ897706

Daniel V. Tausk, Claudia Correa

Publication date: 7 December 2015

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

Full work available at URL: https://arxiv.org/abs/1505.06727

zbMATH Keywords

Banach spaces of continuous functionstwisted sums of Banach spacesValdivia compacta

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Banach spaces of continuous, differentiable or analytic functions (46E15) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Related Items (6)

Twisted sums of \(c_0\) and \(C(K)\)-spaces: a solution to the CCKY problem ⋮ Sailing over three problems of Koszmider ⋮ Nonseparable \(C(K)\)-spaces can be twisted when \(K\) is a finite height compact ⋮ Compactifications of $\omega $ and the Banach space $c_0$ ⋮ Extension operators and twisted sums of \(c_{0}\) and \(C(K)\) spaces ⋮ Small Valdivia compacta and trees

Cites Work

• Nonseparable \(C(K)\)-spaces can be twisted when \(K\) is a finite height compact
• Projective resolution of identity in C(K) spaces
• Three-space problems in Banach space theory
• On separably injective Banach spaces
• Extension property and complementation of isometric copies of continuous functions spaces
• Functional-analytic properties of Corson-compact spaces
• Twisted sums with 𝐶(𝐾) spaces
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