A Banach space induced by an almost disjoint family, admitting only few operators and decompositions

DOI10.1016/j.aim.2021.107613OpenAlexW3128369420MaRDI QIDQ2656124

Niels Jakob Laustsen, Piotr Koszmider

Publication date: 10 March 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03832

zbMATH Keywords

closed operator idealBanach space of continuous functionsalmost disjoint family\(\Psi\)-spaceperfect set propertypartitioner

Mathematics Subject Classification ID

Automatic continuity (46H40) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Nonseparable Banach spaces (46B26) Local compactness, (sigma)-compactness (54D45) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Operator ideals (47L20) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (8)

Classifying the closed ideals of bounded operators on two families of non-separable classical Banach spaces ⋮ On Banach spaces of the form \(C_0(\alpha\times L)\) with few operators ⋮ Sailing over three problems of Koszmider ⋮ Almost disjoint families and the geometry of nonseparable spheres ⋮ The complemented subspace problem for \(C(K)\)-spaces: a counterexample ⋮ Closed ideals of operators on the Tsirelson and Schreier spaces ⋮ Maximal abelian subalgebras of Banach algebras ⋮ BANACH SPACES IN WHICH LARGE SUBSETS OF SPHERES CONCENTRATE

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