Representations of the spaces \(O_m(E)\) and \(DL^p(E)\)

zbMath0515.46035MaRDI QIDQ1051853

José Bonet

Publication date: 1982

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/43367

zbMATH Keywords

complemented subspacePelczynski complementation propertysequence space representations of spaces of vector valued differentiable functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Sequence spaces (including Köthe sequence spaces) (46A45) Classical Banach spaces in the general theory (46B25) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

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Explicit representations of L. Schwartz' spaces \(\mathcal D_{L^p}\) and \(\mathcal D^\prime_{L^p}\) by the sequence spaces \(s\hat\otimes l^p\) and \(s^\prime\hat\otimes l^p\), respectively, for \(1<p<\infty\)

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