Results 31 to 40 of about 230 (41)
Continuity of LF-algebra representations associated to representations of Lie groups
, 2012 Let G be a Lie group and E be a locally convex topological G-module. If E is sequentially complete, then E and its space of smooth vectors are modules for the algebra D(G) of compactly supported smooth functions on G. However, the module multiplication
Glockner, Helge
core +1 more source
Some properties of short exact sequences of locally convex Riesz spaces [PDF]
, 1998 summary:We investigate the stability of some properties of locally convex Riesz spaces in connection with subspaces and quotients and also the corresponding three-space-problems.
Kadelburg, Zoran, Radenović, Stojan
core
Estabilidad de espacios localmente convexos por ultraproductos [PDF]
, 1986 Estudiamos en este artículo la estabilidad de algunas clases de espacios localmente convexos bajo la formación de ultraproductos. Se demuestra que los espacios bornologicos y ultrabornológicos son estables (teorema 2) pero no así los espacios tonelados ...
Facenda Aguirre, José Antonio
core +1 more source
Banach-Steinhaus theorems of locally convex spaces based on sequantial equicontinuity and essentially uniform boundedness [PDF]
, 1988 Hsiang, Wên Han
core
Some of the next articles are maybe not open access.
The author studies barrelled, quasi-barrelled, and bornological spaces over Hausdorff, non-discrete, topological division rings. Her theory thus generalizes the classical one (over \({\mathbb{R}}\) or \({\mathbb{C}})\) as well as the non-archimedean theory. The main results are the Banach-Steinhaus theorem and the open mapping and closed graph theorems.
openaire +1 more source
openaire +1 more source
A question of Antosik and Burzyk on non-bornological barrelled spaces
Summary: Examples of non-bornological barrelled DF-spaces such that every sequentially continuous seminorm is continuous are given. This answers in the negative an open question of Antosik and Burzyk.openaire +1 more source