Strengthened Stone-Weierstrass type theorem
نویسندگان
چکیده
منابع مشابه
Strengthened Stone-weierstrass Type Theorem
The aim of the paper is to prove that if L is a linear subspace of the space C(K) of all real-valued continuous functions defined on a nonempty compact Hausdorff space K such that min(|f |, 1) ∈ L whenever f ∈ L, then for any nonzero g ∈ L̄ (where L̄ denotes the uniform closure of L in C(K)) and for any sequence (bn)n=1 of positive numbers satisfying the relation P∞ n=1 bn = ‖g‖ there exists a se...
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1. Let X be a locally compact Hausdorff space, C(X)ß the locally convex topological vector space obtained from all bounded complex continuous functions on X by employing the strict topology [2]. The present note is devoted to a version of Bishop's generalized StoneWeierstrass theorem [l] applicable to certain subspaces of C(X)ß-, essentially it is a footnote to an earlier paper [4], in which a ...
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ژورنال
عنوان ژورنال: Opuscula Mathematica
سال: 2011
ISSN: 1232-9274
DOI: 10.7494/opmath.2011.31.4.645