arXiv:1501.06410 Abstract | arXiv Analytics

arXiv:1501.06410 [math.FA]Abstract References Reviews Resources

Arens regularity of certain weighted semigroup algebras and countability

B. Khodsiani, A. Rejali, H. R. Ebrahimi Vishki

Published 2015-01-26Version 1

It is known that every countable semigroup admits a weight w for which the semigroup algebra l_1(S,w) is Arens regular and no uncountable group admits such a weight; see [4]. In this paper, among other things, we show that for a large class of semigroups, the Arens regularity of the weighted semigroup algebra l_1(S,w) implies the countability of S.

Categories: math.FA

Subjects: 43A10, 43A20, 46H20, 20M18

Keywords: weighted semigroup algebra, arens regularity, countability, countable semigroup admits, large class

Related articles: Most relevant | Search more

arXiv:0711.1621 [math.FA] (Published 2007-11-10)

Arens Regularity of Module Actions and the Second Adjoit of a Derivation

S. Mohammadzadeh, H. R. E. Vishki

arXiv:0808.1404 [math.FA] (Published 2008-08-10)

Weighted Semigroup Algebras as Dual Banach algebras

M. Abolghasemi, A. Rejali, H. R. E. Vishki

arXiv:1601.04283 [math.FA] (Published 2016-01-17)

On the Arens regularity of the Herz Algebra