Approximation by certain subspaces in the banach space of continuous vector-valued functions
نویسندگان
چکیده
منابع مشابه
On the character space of Banach vector-valued function algebras
Given a compact space $X$ and a commutative Banach algebra $A$, the character spaces of $A$-valued function algebras on $X$ are investigated. The class of natural $A$-valued function algebras, those whose characters can be described by means of characters of $A$ and point evaluation homomorphisms, is introduced and studied. For an admissible Banach $A$-valued function algebra...
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7"o(z) being employed in general to denote the total variation of the function z(t) on /. Thus metrised, (BV) is not a Banach space(2); but it is complete, separable, and boundedly compact. Although a linear space, it is not a "linear topological space" in the sense in which that term is sometimes used, for the topology introduced by the metric (1) is non-uniform. Indeed it is easily seen that ...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1979
ISSN: 0021-9045
DOI: 10.1016/0021-9045(79)90108-4