Duality and twisted sums of Banach spaces

DOI10.1006/jfan.2000.3598zbMath0961.46010OpenAlexW1988040288MaRDI QIDQ1580797

Félix Cabello Sánchez, Jesús M. Fernandez Castillo

Publication date: 14 September 2000

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

Full work available at URL: https://doi.org/10.1006/jfan.2000.3598

zbMATH Keywords

twisted sumthree space problem\(0\)-linear mapscomplemented in a dual spaceisomorphic to a dual spacenonlinear version of the Hahn-Banach theorem

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (20)

On the Lindenstrauss-Rosenthal theorem ⋮ On Three-Space Problems for Certain Classes of $$C^*$$-algebras ⋮ The behaviour of quasi-linear maps on \(C(K)\)-spaces ⋮ Colocality and twisted sums of Banach spaces ⋮ Three-representation problem in Banach spaces ⋮ Stability of vector measures and twisted sums of Banach spaces ⋮ Type, cotype and twisted sums induced by complex interpolation ⋮ Complex structures on twisted Hilbert spaces ⋮ Higher order derivatives of analytic families of Banach spaces ⋮ On separably injective Banach spaces ⋮ Extensions by spaces of continuous functions ⋮ The Rochberg garden ⋮ Singular twisted sums generated by complex interpolation ⋮ On the \(\text{Ext}^2\)-problem for Hilbert spaces ⋮ The diagonal functors ⋮ The long homology sequence for quasi-Banach spaces, with applications ⋮ Twisted sums with 𝐶(𝐾) spaces ⋮ Banach spaces in various positions ⋮ Twisting operator spaces ⋮ The singular case in the stability of additive functions

Cites Work

• Separable conjugate spaces
• Some non-quasireflexive spaces having unique isomorphic preduals
• Kernels of surjections from \({\mathcal L}_1\)-spaces with an application to Sidon sets
• Three-space problems in Banach space theory
• On James's paper 'Separable conjugate spaces'
• Sur un théorème de Banach
• Uniformly Exhaustive Submeasures and Nearly Additive Set Functions
• Twisted Sums of Sequence Spaces and the Three Space Problem
• On the "Three space problem".
• Examples for the Nonlocally Convex Three Space Problem
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