Quotient space of LMC-compactification as a space of z-filters
نویسندگان
چکیده
منابع مشابه
Lmc-compactification of a semitopological semigroup as a space of e-ultrafilters
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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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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ژورنال
عنوان ژورنال: Acta Mathematica Scientia
سال: 2012
ISSN: 0252-9602
DOI: 10.1016/s0252-9602(12)60156-8