INCLUSION RELATIONS CONCERNING WEAKLY ALMOST PERIODIC FUNCTIONS AND FUNCTIONS VANISHING AT INFINITY
We consider the space of weakly almost periodic functions on a transformation semigroup (S, X , ?) and show that if X is a locally compact noncompact uniform space, and ? is a separately continuous, separately proper, and equicontinuous action of S on X, then every continuous function on X, vanish...
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| Format: | Article |
|---|---|
| Language: | English |
| Published: |
University of Tehran
1995-12-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31271_c4cabc4a812dd80b527cbae4f3c88738.pdf |
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| _version_ | 1850152920879726592 |
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| collection | DOAJ |
| description | We consider the space of weakly almost periodic functions on a
transformation semigroup (S, X , ?) and show that if X is a locally compact
noncompact uniform space, and ? is a separately continuous, separately proper,
and equicontinuous action of S on X, then every continuous function on X,
vanishing at infinity is weakly almost periodic. We also use a number of
diverse examples to show that the conditions we have imposed on the
transformation semigroup are almost essential for the inclusion to hold |
| format | Article |
| id | doaj-art-8809a96e3bcd446cbf492797a7767ee1 |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 1995-12-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-8809a96e3bcd446cbf492797a7767ee12025-08-20T02:25:51ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141995-12-016431271INCLUSION RELATIONS CONCERNING WEAKLY ALMOST PERIODIC FUNCTIONS AND FUNCTIONS VANISHING AT INFINITYWe consider the space of weakly almost periodic functions on a transformation semigroup (S, X , ?) and show that if X is a locally compact noncompact uniform space, and ? is a separately continuous, separately proper, and equicontinuous action of S on X, then every continuous function on X, vanishing at infinity is weakly almost periodic. We also use a number of diverse examples to show that the conditions we have imposed on the transformation semigroup are almost essential for the inclusion to holdhttps://jsciences.ut.ac.ir/article_31271_c4cabc4a812dd80b527cbae4f3c88738.pdf |
| spellingShingle | INCLUSION RELATIONS CONCERNING
WEAKLY ALMOST PERIODIC FUNCTIONS
AND FUNCTIONS VANISHING AT INFINITY Journal of Sciences, Islamic Republic of Iran |
| title | INCLUSION RELATIONS CONCERNING
WEAKLY ALMOST PERIODIC FUNCTIONS
AND FUNCTIONS VANISHING AT INFINITY |
| title_full | INCLUSION RELATIONS CONCERNING
WEAKLY ALMOST PERIODIC FUNCTIONS
AND FUNCTIONS VANISHING AT INFINITY |
| title_fullStr | INCLUSION RELATIONS CONCERNING
WEAKLY ALMOST PERIODIC FUNCTIONS
AND FUNCTIONS VANISHING AT INFINITY |
| title_full_unstemmed | INCLUSION RELATIONS CONCERNING
WEAKLY ALMOST PERIODIC FUNCTIONS
AND FUNCTIONS VANISHING AT INFINITY |
| title_short | INCLUSION RELATIONS CONCERNING
WEAKLY ALMOST PERIODIC FUNCTIONS
AND FUNCTIONS VANISHING AT INFINITY |
| title_sort | inclusion relations concerning weakly almost periodic functions and functions vanishing at infinity |
| url | https://jsciences.ut.ac.ir/article_31271_c4cabc4a812dd80b527cbae4f3c88738.pdf |