The controlled separable projection property for Banach spaces

DOI10.2478/s11533-011-0096-xzbMath1253.46024OpenAlexW2014513600MaRDI QIDQ651279

Jesús Ferrer, Marek Wójtowicz

Publication date: 12 December 2011

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0096-x

zbMATH Keywords

separable quotient problemWCG-spacescontrolled separable projection propertyJosefson-Nissenzweig sequenceMrówka spaceweakly Lindelöf determined Banach space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30) Nonseparable Banach spaces (46B26) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items

Isometries of spaces of Radon measures, A note on monolithic scattered compacta, On weak*-extensible Banach spaces, The controlled separable complementation property and monolithic compacta, On the $c_0$-extension property

Cites Work

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• On a three-space property for Lindelöf \(\Sigma\)-spaces, (WCG)-spaces and the Sobczyk property
• Mrówka maximal almost disjoint families for uncountable cardinals
• On the controlled separable projection property for some \(C(K)\) spaces
• Effective constructions of separable quotients of Banach spaces
• Weak sequential convergence in the dual of a Banach space does not imply norm convergence
• Set theory. With an introduction to descriptive set theory. Translation of the original Polish edition. 2nd, completely revised ed
• \(w^*\) sequential convergence
• On weakly Lindelöf Banach spaces
• Three-space problems in Banach space theory
• Spaces of continuous functions defined on Mrówka spaces
• On quasi-complements
• A construction of a Banach space \(C(K)\) with few operators
• Banach spaces of continuous functions with few operators
• Hausdorff gaps and limits
• Zeroes of real polynomials on \(C(K)\) spaces
• Resolutions of the identity in certain Banach spaces
• Projections in certain Banach spaces
• An indecomposable Banach space of continuous functions which has small density
• THE SEPARABLE QUOTIENT PROBLEM FOR (LF)_tv-SPACES
• Twisted Sums of Sequence Spaces and the Three Space Problem
• Smoothness and Weak Sequential Compactness
• Some set-theoretic constructions in topology
• The equivalence of some Banach space problems
• On one generalization of weakly compactly generated Banach spaces
• Zeros of quadratic functionals on non-separable spaces
• On ω*-basic sequences and their applications to the study of Banach spaces
• On relatively disjoint families of measures, with some applications to Banach space theory
• On completely regular spaces