Homological dimensions of Banach spaces
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Publication:5003304
DOI10.1070/SM9425zbMath1478.46073arXiv1908.06526OpenAlexW3123306055MaRDI QIDQ5003304
Félix Cabello Sánchez, Ricardo García, Jesús M. Fernandez Castillo
Publication date: 21 July 2021
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.06526
homologyBanach spacequasi-Banach spaceexact sequencehomological dimension\( \operatorname{Ext}^n\) functor
Projective and injective objects in functional analysis (46M10) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Categories, functors in functional analysis (46M15)
Related Items (3)
On the category of quotient Banach spaces after Wegner ⋮ The hitchhiker guide to Categorical Banach space theory. Part II. ⋮ The Rochberg garden
Cites Work
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- Some remarks on weakly compactly generated Banach spaces
- The separable extension problem
- Continuation of homogeneous functionals with a given convexity
- Linear and complex analysis problem book 3. Part 1
- Kernels of surjections from \({\mathcal L}_1\)-spaces with an application to Sidon sets
- Three-space problems in Banach space theory
- A conjecture of Palamodov about the functors \(\text{Ext}^{k}\) in the category of locally convex spaces.
- Extension operators and twisted sums of \(c_{0}\) and \(C(K)\) spaces
- Bilinear forms and the \(\mathrm{Ext}^2\)-problem in Banach spaces
- Derived functors in functional analysis
- On the \(\text{Ext}^2\)-problem for Hilbert spaces
- Corrigendum to: ``On separably injective Banach spaces
- Complex interpolation and twisted twisted Hilbert spaces
- Hebbare lokalkonvexe Räume
- Automorphisms in \(c_0\), \(\ell_1\) and \(m\)
- The \(L_ p\) spaces
- On subspaces of quotients of (\(\sum G_n\))\(l_p\) and (\(\sum G_n\))\(c_0\)
- Topics in Banach Space Theory
- Uniformly Exhaustive Submeasures and Nearly Additive Set Functions
- Sobczyk's theorem and the Bounded Approximation Property
- ON THE FUNCTOR Ext IN THE CATEGORY OF LINEAR TOPOLOGICAL SPACES
- Twisted Sums of Sequence Spaces and the Three Space Problem
- On the "Three space problem".
- Examples for the Nonlocally Convex Three Space Problem
- On Lindenstrauss–Pełczyński spaces
- Universal bases
- On complementably universal Banach spaces
- Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces
- Homological methods in the theory of locally convex spaces
- On the Extension of Linear Transformations
- Separably injective Banach spaces
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