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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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/5706 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862719100885663744 |
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| author | Jabbari, A. Vishki, H.R.E. |
| author_facet | Jabbari, A. Vishki, H.R.E. |
| 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. |
| collection | DSpace DC |
| 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.
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| first_indexed | 2025-12-07T18:18:12Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-5706 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1029-3531 |
| language | English |
| last_indexed | 2025-12-07T18:18:12Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | A Class of Distal Functions on Semitopological Semigroups Jabbari, A. Vishki, H.R.E. |
| title | 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_short | A Class of Distal Functions on Semitopological Semigroups |
| title_sort | class of distal functions on semitopological semigroups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/5706 |
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