Topological properties of the dual pair \(<B(\Omega)',B(\Omega)<i>>\)

DOI10.2140/pjm.1983.108.51zbMath0465.46012OpenAlexW1490181414MaRDI QIDQ1154631

Peter Dierolf, Susanna Dierolf

Publication date: 1983

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1983.108.51

zbMATH Keywords

strict topologyLB-spacequasi-normableSchwartz-spacedistinguished Frechet-spacemeasurable-graph theoremnormal space of distributionsOrlicz-Pettis-spacespace of integrable distributions

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Inductive and projective limits in functional analysis (46M40) Lattices of continuous, differentiable or analytic functions (46E05) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (10)

Barrelledness conditions on certain vector valued sequence spaces ⋮ On the convolution of Roumieu ultradistributions through the \(\epsilon\) tensor product ⋮ On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution ⋮ Extending Edgar's ordering to locally convex spaces ⋮ Projective descriptions of spaces of functions and distributions ⋮ Convolution and Anti-Wick Quantisation on Ultradistribution Spaces ⋮ A Fréchet space which has a continuous norm but whose bidual does not ⋮ On convolvability conditions for distributions ⋮ A note on the Schwartz space B(R(sup n)) endowed with the strict topology ⋮ Quasinormable \(C_0\)-groups and translation-invariant Fréchet spaces of type \(\mathcal{D}_E\)

This page was built for publication: Topological properties of the dual pair \(<B(\Omega)',B(\Omega)>\)