Complementations in $C(K,X)$ and $\ell _\infty (X)$
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Publication:6104326
DOI10.4064/cm8868-10-2022zbMath1528.46033arXiv2104.07152OpenAlexW3154307068MaRDI QIDQ6104326
Publication date: 28 June 2023
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.07152
Spaces of vector- and operator-valued functions (46E40) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Banach spaces of continuous, differentiable or analytic functions (46E15)
Cites Work
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- Complemented copies of \(c_ 0\) in \(\ell ^{\infty}\)-sums of Banach spaces
- On isomorphisms of Banach spaces of continuous functions
- The Banach spaces \(\ell _{\infty }(c_{0})\) and \(c_{0}(\ell _{\infty })\) are not isomorphic
- Complemented copies of \(c_0( \tau )\) in tensor products of \(L_p[0,1\)]
- When does \(C(K,X)\) contain a complemented copy of \(c_0(\Gamma )\) iff \(X\) does?
- Biorthogonal systems and quotient spaces via Baire category methods
- On compelemented subspaces of m
- A complementably universal conjugate Banach space and its relation to the approximation problem
- On Banach spaces of the form \(C_0(\alpha\times L)\) with few operators
- BANACH SPACES OF CONTINUOUS VECTOR-VALUED FUNCTIONS OF ORDINALS
- On embeddings of $C_0(K)$ spaces into $C_0(L,X)$ spaces
- On positive embeddings of C(K) spaces
- A weak vector-valued Banach-Stone theorem
- Copies of $c_{0}(Γ)$ in $C(K, X)$ spaces
- A weak∗-topological dichotomy with applications in operator theory
- Geometry of the Banach spaces C(βN ×K,X) for compact metric spaces K
- On complemented copies of $c_0(\omega _1)$ in $C(K^n)$ spaces
- Spaces of continuous functions (IV). (On isomorphical classification of spaces of continuous functions).
- ON C*-ALGEBRAS WHICH CANNOT BE DECOMPOSED INTO TENSOR PRODUCTS WITH BOTH FACTORS INFINITE-DIMENSIONAL
- C(K, E) Contains a Complemented Copy of c 0
- Copies of l∞ in an operator space
- On C(S)-subspaces of separable Banach spaces
- Biorthogonal systems in Banach spaces
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