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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| Date: | 2009 |
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| Language: | English |
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Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/5706 |
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| Cite this: | 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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Jabbari, A. Vishki, H.R.E. 2010-02-02T13:33:29Z 2010-02-02T13:33:29Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/5706 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. en Інститут математики НАН України A Class of Distal Functions on Semitopological Semigroups Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
A Class of Distal Functions on Semitopological Semigroups |
| spellingShingle |
A Class of Distal Functions on Semitopological Semigroups Jabbari, A. Vishki, H.R.E. |
| 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 |
| author |
Jabbari, A. Vishki, H.R.E. |
| author_facet |
Jabbari, A. Vishki, H.R.E. |
| publishDate |
2009 |
| language |
English |
| publisher |
Інститут математики НАН України |
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Article |
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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.
|
| issn |
1029-3531 |
| url |
https://nasplib.isofts.kiev.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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2025-12-07T18:18:12Z |
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