The strong topology on the dual space of a summability field and the mu- continuity problem (Q1085392)
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: The strong topology on the dual space of a summability field and the mu- continuity problem |
scientific article; zbMATH DE number 3981805
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The strong topology on the dual space of a summability field and the mu- continuity problem |
scientific article; zbMATH DE number 3981805 |
Statements
The strong topology on the dual space of a summability field and the mu- continuity problem (English)
0 references
1987
0 references
The main result is that if A is a matrix with convergent columns then the strong topology on the dual space \(c_ A'\) of the summability field \(c_ A\) coincides with a certain natural inductive topology. From this it follows that the mu functional is continuous on \(c_ A'\) provided it is uniquely defined.
0 references
strong topology on the dual space
0 references
summability field
0 references
inductive topology
0 references
mu functional
0 references
