Spectral theory of almost periodic representations of semigroups (Q762286)
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: Spectral theory of almost periodic representations of semigroups |
scientific article; zbMATH DE number 3887955
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral theory of almost periodic representations of semigroups |
scientific article; zbMATH DE number 3887955 |
Statements
Spectral theory of almost periodic representations of semigroups (English)
0 references
1984
0 references
A representation \(T\) of a topological semigroup \(S\) in a Banach space \(B\) is called almost periodic if the set \(O(x)=\{y: y=T(s)x,\;s\in S\}\) is strongly precompact for any \(x\in B\). The authors study different types (convergent, ergodic, primitive) of such representations. There are some corollaries for linear operators of Banach spaces.
0 references
almost periodic representation
0 references
topological semigroup
0 references
Banach space
0 references
0 references
