Barrelledness of the space of vector valued and simple functions
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Publication:594349
DOI10.1007/BF01455966zbMath0525.46022MaRDI QIDQ594349
Publication date: 1984
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/163909
Spaces of vector- and operator-valued functions (46E40) Spaces of measures, convergence of measures (28A33) Barrelled spaces, bornological spaces (46A08) Tensor products in functional analysis (46M05)
Related Items (22)
A survey on recent advances on the Nikodým boundedness theorem and spaces of simple functions ⋮ Cotype and complemented copies of $c_0$ in spaces of operators ⋮ EMBEDDING C0IN THE SPACE OF PETTIS INTEGRABLE FUNCTIONS ⋮ On the separable quotient problem for Banach spaces ⋮ On complemented copies of $c_0(\omega _1)$ in $C(K^n)$ spaces ⋮ Operator spaces containing \(c_ 0\) or \(\ell_ \infty\) ⋮ Strong barrelledness properties in B(Σ, X) ⋮ Grothendieck $C(K)$-spaces and the Josefson–Nissenzweig theorem ⋮ On complemented copies of the space c0 in spaces Cp(X,E)$C_p(X,E)$ ⋮ On the work of Lech Drewnowski ⋮ On complemented copies of \(c_0\) and \(\ell_\infty\) ⋮ Grothendieck operators on tensor products ⋮ Barrelledness and bornological conditions on spaces of vector-valued \(\mu\)-simple functions ⋮ An abstract Banach-Steinhaus theorem and applications to function spaces ⋮ 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? ⋮ Complemented copies of \(c_0\) in the vector-valued bounded function space ⋮ Distinguished vector-valued continuous function spaces and injective tensor products ⋮ Copies of $c_{0}(Γ)$ in $C(K, X)$ spaces ⋮ On complemented copies of the space \(c_0\) in spaces \(C_p(X \times Y)\) ⋮ Barrelledness and nuclearity ⋮ Numerical index of vector-valued function spaces
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