✍ Scribed by Salvador Hernández
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📜 SIMILAR VOLUMES
In [Topology Appl. 41 (1991) 25] we have introduced the notion of a wQN-space as a space in which for every sequence of continuous functions pointwisely converging to 0 there is a subsequence quasi-normally converging to 0. In the present paper we continue this investigation and generalize some conc
A closed nonvoid subset Z of a Banach space X is called antiproximinal if no point outside Z has a nearest point in Z. The aim of the present paper is to prove that, for a compact Hausdorff space T and a real Banach space E, the Banach space C T E , of all continuous functions defined on T and with
It is shown that if a separable real Banach space X admits a separating analytic Ž Ž . function with an additional condition property K , concerning uniform behaviour . of radii of convergence then every uniformly continuous mapping on X into any real Banach space Y can be approximated by analytic o
Given two spaces X and Y, three kinds of continuous nppinge f : X --, Y are considered: the set \* of all monotone mappings, the set .&?of idl light mappings and the set % of all non-alternating (onto) mappings. It is shown that -kmde.\P suitable .lssumptions on the spaces X and Y -the sets%, .@and