Filters and semigroup compactification properties
نویسندگان
چکیده
منابع مشابه
Filters and the Weakly Almost Periodic Compactification of a Semitopological Semigroup
Let $S$ be a semitopological semigroup. The $wap-$ compactification of semigroup S, is a compact semitopological semigroup with certain universal properties relative to the original semigroup, and the $Lmc-$ compactification of semigroup $S$ is a universal semigroup compactification of $S$, which are denoted by $S^{wap}$ and $S^{Lmc}$ respectively. In this paper, an internal construction of ...
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Let S be a semitopological semigroup and CB(S) denote the C∗-algebra of all bounded complex valued continuous functions on S with uniform norm. A function f ∈ CB(S) is left multiplicative continuous if and only if Tμf ∈ CB(S) for all μ in the spectrum of CB(S), where Tμf(s) = μ(Lsf) and Lsf(x) = f(sx) for each s, x ∈ S. The collection of all the left multiplicative continuous functions on S is ...
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ژورنال
عنوان ژورنال: Semigroup Forum
سال: 2008
ISSN: 0037-1912,1432-2137
DOI: 10.1007/s00233-008-9118-9