Another note on copies of \(\ell_\infty\) and \(c_0\) in \(ca(\Sigma,X)\), and the equality \(ca(\Sigma,X)=cca(\Sigma,X)\)

zbMath0923.46045MaRDI QIDQ1280014

Drewnowski, Lech

Publication date: 25 October 1999

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

zbMATH Keywords

vector measurecompact operatorisomorphic embeddingcompact rangeisomorphic copy of \(\ell_\infty\)isomorphic copy of \(c_0\)nonzero, atomless, finite positive measuretype (NA)

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Linear operators defined by compactness properties (47B07) Vector-valued measures and integration (46G10) Spaces of measures (46E27)

Related Items (2)

Cotype and complemented copies of $c_0$ in spaces of operators ⋮ A Banach function space \(X\) for which all operators from \(\ell^p\) to \(X\) are compact

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