Representation of the spaces \({\mathcal D}_{L^ p}(\Omega,E),\) \(1\leq p<+\infty\)

zbMath0592.46034MaRDI QIDQ1075556

Manuel Maestre

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/38339

zbMATH Keywords

separated locally convex topological vector spacespaces of infinitely differentiable functions with values in aspaces of infinitely differentiable functions with values in a separated locally convex topological vector space

Mathematics Subject Classification ID

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 \(1<p<\infty\)