A Class of Distal Functions on Semitopological Semigroups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Class of Distal Functions on Semitopological Semigroups
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| Creator |
Jabbari, A.
Vishki, H.R.E. |
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| 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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| Date |
2010-02-02T13:33:29Z
2010-02-02T13:33:29Z 2009 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Publisher |
Інститут математики НАН України
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