A Class of Distal Functions on Semitopological Semigroups
The norm closure of the algebra generated by the set {n→λ^nk : λ belongs T and k belongs N} of functions on (Z,+) was studied in [11] (and was named as the Weyl algebra). In this paper, by a fruitful result of Namioka, this algebra is generalized for a general semitopological semigroup and, among ot...
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| Дата: | 2009 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2009
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/5706 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A class of distal functions on semitopological semigroups / A. Jabbari, H.R.E. Vishki // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 188-194. — Бібліогр.: 11 назв. — англ. |
Репозиторії
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irk-123456789-57062010-02-03T12:01:11Z A Class of Distal Functions on Semitopological Semigroups Jabbari, A. Vishki, H.R.E. The norm closure of the algebra generated by the set {n→λ^nk : λ belongs T and k belongs N} of functions on (Z,+) was studied in [11] (and was named as the Weyl algebra). In this paper, by a fruitful result of Namioka, this algebra is generalized for a general semitopological semigroup and, among other things, it is shown that the elements of the involved algebra are distal. In particular, we examine this algebra for (Z,+) and (more generally) for the discrete (additive) group of any countable ring. Finally, our results are treated for a bicyclic semigroup. 2009 Article A class of distal functions on semitopological semigroups / A. Jabbari, H.R.E. Vishki // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 188-194. — Бібліогр.: 11 назв. — англ. 1029-3531 http://dspace.nbuv.gov.ua/handle/123456789/5706 en Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The norm closure of the algebra generated by the set {n→λ^nk : λ belongs T and k belongs N} of functions on (Z,+) was studied in [11] (and was named as the Weyl algebra). In this paper, by a fruitful result of Namioka, this algebra is generalized for a general semitopological semigroup and, among other things, it is shown that the elements of the involved algebra are distal. In particular, we examine this algebra for (Z,+) and (more generally) for the discrete (additive) group of any countable ring. Finally, our results are treated for a bicyclic semigroup. |
| format |
Article |
| author |
Jabbari, A. Vishki, H.R.E. |
| spellingShingle |
Jabbari, A. Vishki, H.R.E. A Class of Distal Functions on Semitopological Semigroups |
| author_facet |
Jabbari, A. Vishki, H.R.E. |
| author_sort |
Jabbari, A. |
| title |
A Class of Distal Functions on Semitopological Semigroups |
| title_short |
A Class of Distal Functions on Semitopological Semigroups |
| title_full |
A Class of Distal Functions on Semitopological Semigroups |
| title_fullStr |
A Class of Distal Functions on Semitopological Semigroups |
| title_full_unstemmed |
A Class of Distal Functions on Semitopological Semigroups |
| title_sort |
class of distal functions on semitopological semigroups |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/5706 |
| citation_txt |
A class of distal functions on semitopological semigroups / A. Jabbari, H.R.E. Vishki // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 188-194. — Бібліогр.: 11 назв. — англ. |
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2023-03-24T08:34:13Z |
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