On a property of PLS-spaces inherited by their tensor products

zbMath1205.46002MaRDI QIDQ961982

Krzysztof Piszczek

Publication date: 1 April 2010

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1267798505

zbMATH Keywords

tensor productsFréchet-Schwartz space(DN) and (\(\Omega\)) type conditionsdual interpolation estimatePLS spaces

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63) Tensor products in functional analysis (46M05)

Related Items (6)

Solution to the first Cousin problem for vector-valued quasianalytic functions ⋮ Real analytic parameter dependence of solutions of differential equations over Roumieu classes ⋮ Splitting and parameter dependence in the category of \(\mathrm{PLH}\) spaces ⋮ Weighted PLB-spaces of continuous functions arising as tensor products of a Fréchet and a DF-space ⋮ Real analytic parameter dependence of solutions of differential equations ⋮ The Hilbert tensor product and inductive limits

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