Nonuniform completions and hypocontinuity of multiplication in locally convex algebras (Q1177451)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Nonuniform completions and hypocontinuity of multiplication in locally convex algebras |
scientific article; zbMATH DE number 20558
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonuniform completions and hypocontinuity of multiplication in locally convex algebras |
scientific article; zbMATH DE number 20558 |
Statements
Nonuniform completions and hypocontinuity of multiplication in locally convex algebras (English)
0 references
26 June 1992
0 references
Motivated by the study of convolution algebras of distributions the author investigates in detail a few classes of bornological, locally convex algebras. First the Banach-Steinhaus phenomenon is formulated and extended in the framework of bornological spaces. As a consequence the author obtains non-trivial (hypo)continuity results for the multiplication operation in certain completions of bornological, locally convex algebras.
0 references
bornology
0 references
barrelled space
0 references
convolution algebras of distributions
0 references
bornological, locally convex algebras
0 references
Banach-Steinhaus phenomenon
0 references
bornological spaces
0 references
completions of bornological, locally convex algebras
0 references
