A Class of Distal Functions on Semitopological Semigroups

dc.contributor.author	Jabbari, A.
dc.contributor.author	Vishki, H.R.E.
dc.date.accessioned	2010-02-02T13:33:29Z
dc.date.available	2010-02-02T13:33:29Z
dc.date.issued	2009
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1029-3531
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/5706
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.title	A Class of Distal Functions on Semitopological Semigroups	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA