SEMIGROUP ACTIONS , WEAK ALMOST PERIODICITY, AND INVARIANT MEANS
Let S be a topological semigroup acting on a topological space X. We develop the theory of (weakly) almost periodic functions on X, with respect to S, and form the (weakly) almost periodic compactifications of X and S, with respect to each other. We then consider the notion of an action of Son a Ban...
Saved in:
| Format: | Article |
|---|---|
| Language: | English |
| Published: |
University of Tehran
1990-03-01
|
| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31393_97dba61c61ae0f28f3f15144dcd3ab92.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850153023037243392 |
|---|---|
| collection | DOAJ |
| description | Let S be a topological semigroup acting on a topological space X. We
develop the theory of (weakly) almost periodic functions on X, with respect
to S, and form the (weakly) almost periodic compactifications of X and S,
with respect to each other. We then consider the notion of an action of Son a
Banach space, and on its dual, and after defining S-invariant means for such a
space, we give a result concerning the existence of such means, and apply it to
prove the existence of a G-invariant mean on the space of weakly almost
periodic functions defined on a topological space on which a topological
group G acts. |
| format | Article |
| id | doaj-art-02c6254e4b1642e380a1e258dbf85456 |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 1990-03-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-02c6254e4b1642e380a1e258dbf854562025-08-20T02:25:50ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141990-03-011231393SEMIGROUP ACTIONS , WEAK ALMOST PERIODICITY, AND INVARIANT MEANSLet S be a topological semigroup acting on a topological space X. We develop the theory of (weakly) almost periodic functions on X, with respect to S, and form the (weakly) almost periodic compactifications of X and S, with respect to each other. We then consider the notion of an action of Son a Banach space, and on its dual, and after defining S-invariant means for such a space, we give a result concerning the existence of such means, and apply it to prove the existence of a G-invariant mean on the space of weakly almost periodic functions defined on a topological space on which a topological group G acts.https://jsciences.ut.ac.ir/article_31393_97dba61c61ae0f28f3f15144dcd3ab92.pdf |
| spellingShingle | SEMIGROUP ACTIONS , WEAK ALMOST
PERIODICITY, AND INVARIANT MEANS Journal of Sciences, Islamic Republic of Iran |
| title | SEMIGROUP ACTIONS , WEAK ALMOST
PERIODICITY, AND INVARIANT MEANS |
| title_full | SEMIGROUP ACTIONS , WEAK ALMOST
PERIODICITY, AND INVARIANT MEANS |
| title_fullStr | SEMIGROUP ACTIONS , WEAK ALMOST
PERIODICITY, AND INVARIANT MEANS |
| title_full_unstemmed | SEMIGROUP ACTIONS , WEAK ALMOST
PERIODICITY, AND INVARIANT MEANS |
| title_short | SEMIGROUP ACTIONS , WEAK ALMOST
PERIODICITY, AND INVARIANT MEANS |
| title_sort | semigroup actions weak almost periodicity and invariant means |
| url | https://jsciences.ut.ac.ir/article_31393_97dba61c61ae0f28f3f15144dcd3ab92.pdf |