C(K, E) Contains a Complemented Copy of c 0
From MaRDI portal
Publication:3742155
DOI10.2307/2044800zbMath0604.46040OpenAlexW4230798223MaRDI QIDQ3742155
Publication date: 1984
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2044800
Spaces of vector- and operator-valued functions (46E40) Classical Banach spaces in the general theory (46B25) Banach spaces of continuous, differentiable or analytic functions (46E15)
Related Items (28)
Cotype and complemented copies of $c_0$ in spaces of operators ⋮ On the separable quotient problem for Banach spaces ⋮ A note on natural tensor products containing complemented copies of \(c_0\) ⋮ \(L\)-sets and property \((SR^*)\) in spaces of compact operators ⋮ On \(C(K)\) Grothendieck spaces ⋮ Efimov spaces and the separable quotient problem for spaces \(C_{p}(K)\) ⋮ Properties (V) and (w V) on C(Ω X) ⋮ Grothendieck's property in Lp(μ, X) ⋮ Complementations in $C(K,X)$ and $\ell _\infty (X)$ ⋮ A new class of Banach spaces and its relation with some geometric properties of Banach spaces ⋮ Grothendieck $C(K)$-spaces and the Josefson–Nissenzweig theorem ⋮ On subspaces of spaces \(C_p(X)\) isomorphic to spaces \(c_0\) and \(\ell_q\) with the topology induced from \(\mathbb{R}^{\mathbb{N}}\) ⋮ On complemented copies of the space c0 in spaces Cp(X,E)$C_p(X,E)$ ⋮ Some properties of the injective tensor product of \(L^{p}\)[0,1 and a Banach space.] ⋮ OPERATORS ONC0(L,X) WHOSE RANGE DOES NOT CONTAINc0 ⋮ On complemented copies of \(c_0\) and \(\ell_\infty\) ⋮ Grothendieck operators on tensor products ⋮ Witnessing the lack of the Grothendieck property in \(C(K)\)-spaces via convergent sequences ⋮ Dunford-Pettis like properties on tensor products ⋮ 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? ⋮ Asymptotically isometric copies of \(c_0\) in Banach spaces ⋮ Complemented copies of \(c_0\) in the vector-valued bounded function space ⋮ Grothendieck spaces: the landscape and perspectives ⋮ \(C _p\)-spaces dominated by metrizable topologies ⋮ Copies of $c_{0}(Γ)$ in $C(K, X)$ spaces ⋮ On complemented copies of the space \(c_0\) in spaces \(C_p(X \times Y)\) ⋮ Numerical index of vector-valued function spaces
This page was built for publication: C(K, E) Contains a Complemented Copy of c 0