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...
Збережено в:
| Дата: | 2009 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
|
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/5706 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-5706 |
|---|---|
| record_format |
dspace |
| spelling |
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. |
| work_keys_str_mv |
AT jabbaria aclassofdistalfunctionsonsemitopologicalsemigroups AT vishkihre aclassofdistalfunctionsonsemitopologicalsemigroups AT jabbaria classofdistalfunctionsonsemitopologicalsemigroups AT vishkihre classofdistalfunctionsonsemitopologicalsemigroups |
| first_indexed |
2023-03-24T08:34:13Z |
| last_indexed |
2023-03-24T08:34:13Z |
| _version_ |
1796139299922509824 |