When Does ca(Σ, X) Contain a Copy of l ∞ or C 0 ?

DOI10.2307/2048215zbMath0724.46041OpenAlexW2057402892MaRDI QIDQ3211821

Drewnowski, Lech

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048215

zbMATH Keywords

noncompact bounded linear operatorspace of all X-valued measures

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Vector-valued measures and integration (46G10) Spaces of measures (46E27)

Related Items (11)

Cotype and complemented copies of $c_0$ in spaces of operators ⋮ On copies of the null sequence Banach space in some vector measure spaces ⋮ On the separable quotient problem for Banach spaces ⋮ Vector measure Banach spaces containing a complemented copy of 𝑐₀ ⋮ Operator spaces containing \(c_ 0\) or \(\ell_ \infty\) ⋮ Copies of \(c_0\) in the space of Pettis integrable functions with integrals of finite variation ⋮ On certain spaces of vector measures of bounded variation ⋮ On copies of c 0 in the bounded linear operator space ⋮ Embedding c0 in bvca(Σ, X) ⋮ A Banach function space \(X\) for which all operators from \(\ell^p\) to \(X\) are compact ⋮ Complemented copies of \(c_0\) in the vector-valued bounded function space

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