Banach spaces with a unique nontrivial decomposition

DOI10.1090/S0002-9939-08-09368-4zbMath1162.46011OpenAlexW2013081583MaRDI QIDQ3533878

Spiros A. Argyros, Theocharis Raikoftsalis

Publication date: 24 October 2008

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09368-4

zbMATH Keywords

hereditarily indecomposable Banach spacestrictly singular operatorsSchauder decompositioncomplemented subspacesprime Banach space

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26)

Related Items (5)

A Banach space induced by an almost disjoint family, admitting only few operators and decompositions ⋮ Sailing over three problems of Koszmider ⋮ Local Banach-space dichotomies and ergodic spaces ⋮ Complementation and decompositions in some weakly Lindelöf Banach spaces ⋮ A \(c_0\) saturated Banach space with tight structure

Cites Work

• An arbitrarily distortable Banach space
• Convex unconditionality and summability of weakly null sequences
• Banach spaces with small spaces of operators
• Ramsey methods in analysis
• On compelemented subspaces of m
• The Unconditional Basic Sequence Problem
• Projections in certain Banach spaces
• On decompositions of Banach spaces of continuous functions on Mrówka’s spaces
• Methods in the theory of hereditarily indecomposable Banach spaces
• Interpolating hereditarily indecomposable Banach spaces
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