Linear isometries on subalgebras of uniformly continuous functions
نویسندگان
چکیده
منابع مشابه
Linear Isometries between Subspaces of Continuous Functions
We say that a linear subspace A of C0(X) is strongly separating if given any pair of distinct points x1, x2 of the locally compact space X, then there exists f ∈ A such that |f(x1)| 6= |f(x2)|. In this paper we prove that a linear isometry T of A onto such a subspace B of C0(Y ) induces a homeomorphism h between two certain singular subspaces of the Shilov boundaries of B and A, sending the Cho...
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There is a natural bijective correspondence between the compactifications of a Tychonoff space X, the totally bounded uniformities on X, and the unital C∗-subalgebras of C∗(X) (the algebra of bounded continuous complex valued functions on X) with what we call the completely regular separation property. The correspondence of compactifications with totally bounded uniformities is well know and ca...
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We study classes of continuous functions on R that can be approximated in various degree by uniformly continuous ones (uniformly approachable functions). It was proved in [BDP1] that no polynomial function can distinguish between them. We construct examples that distinguish these classes (answering a question from [BDP1]) and we offer appropriate forms of uniform approachability that enable us ...
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چکیده ندارد.
15 صفحه اولUniformly summing sets of operators on spaces of continuous functions
Let X and Y be Banach spaces. A set ᏹ of 1-summing operators from X into Y is said to be uniformly summing if the following holds: given a weakly 1-summing sequence (x n) in X, the series n T x n is uniformly convergent in T ∈ ᏹ. We study some general properties and obtain a characterization of these sets when ᏹ is a set of operators defined on spaces of continuous functions.
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2000
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500020757