Operators on \(C[0,1]\) preserving copies of asymptotic \(\ell_1\) spaces

DOI10.1007/s00208-005-0702-yzbMath1089.46004arXivmath/0412426OpenAlexW2018205607MaRDI QIDQ2575652

Ioannis Gasparis

Publication date: 6 December 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412426

zbMATH Keywords

weakly null sequenceSchreier setsasymptotic \(\ell_1\) spaceoperators on \(C(K)\) space

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Isomorphic theory (including renorming) of Banach spaces (46B03) Partition relations (03E02)

Related Items

Operators whose dual has non-separable range ⋮ A note on operators fixing cotype subspaces of $C[0,1$] ⋮ Shellable weakly compact subsets of \(C[0,1\)] ⋮ Banach spaces and Ramsey theory: some open problems ⋮ On classes of Banach spaces admitting ‘‘small” universal spaces

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