On the Lindenstrauss-Rosenthal theorem

DOI10.1007/BF02786635zbMath1063.46003OpenAlexW2044809413MaRDI QIDQ1885540

Yolanda Moreno, Jesús M. Fernandez Castillo

Publication date: 11 November 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02786635

zbMATH Keywords

liftingBanach spaceextension

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Isomorphic theory (including renorming) of Banach spaces (46B03) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Related Items (14)

On the bounded approximation property in Banach spaces ⋮ Sailing over three problems of Koszmider ⋮ Complex structures on twisted Hilbert spaces ⋮ Nonseparable \(C(K)\)-spaces can be twisted when \(K\) is a finite height compact ⋮ Continuity of linear maps on \(\mathcal L_1\)-spaces ⋮ Singular twisted sums generated by complex interpolation ⋮ On the classification of positions and complex structures in Banach spaces ⋮ The diagonal functors ⋮ On uniformly finitely extensible Banach spaces ⋮ Banach spaces in various positions ⋮ Extending operators into Lindenstrauss spaces ⋮ On automorphic Banach spaces ⋮ Automorphisms of \(\mathcal C(K)\)-spaces and extension of linear operators ⋮ Positions in \(\ell_1\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spaces with small annihilators
• Kernels of surjections from \({\mathcal L}_1\)-spaces with an application to Sidon sets
• Three-space problems in Banach space theory
• Duality and twisted sums of Banach spaces
• The long homology sequence for quasi-Banach spaces, with applications
• Automorphisms in \(c_0\), \(\ell_1\) and \(m\)
• A remark on \(L^ 1\) spaces
• The \(L_ p\) spaces
• Contributions to the theory of the classical Banach spaces
• On factors of C(\([0,1\)) with non-separable dual]
• Locally Complemented Subspaces and ℒp-Spaces for 0 < p < 1
• A construction of ℒ∞-spaces and related Banach spacesand related Banach spaces
• Twisted Sums of Sequence Spaces and the Three Space Problem
• On projections and unconditional bases in direct sums of Banach spaces
• Twisted sums with 𝐶(𝐾) spaces
• On Subspaces of c0 and Extension of Operators into C(K)-Spaces
• New Results on the Dunford-Pettis Property
• On C(S)-subspaces of separable Banach spaces
• On relatively disjoint families of measures, with some applications to Banach space theory
• Banach Spaces Whose Duals Contain l 1 (Γ) With Applications to the Study of Dual L 1 (μ) Spaces

This page was built for publication: On the Lindenstrauss-Rosenthal theorem