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Some results of functional analysis for ultrametric spaces and valued vector spaces

โœ Scribed by Sibylla Priess-Crampe


Publisher
Springer
Year
1995
Tongue
English
Weight
677 KB
Volume
58
Category
Article
ISSN
0046-5755

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## Abstract We investigate Bergman and Bloch spaces of analytic vectorโ€valued functions in the unit disc. We show how the Bergman projection from the Bochnerโ€Lebesgue space __L~p~__(๐”ป, __X__) onto the Bergman space __B~p~__(__X__) extends boundedly to the space of vectorโ€valued measures of bounded

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A necessary and sufficient condition for a fuzzy metric space to be complete is given. We prove that a subspace of a separable fuzzy metric space is separable and every separable fuzzy metric space is second countable. Uniform limit theorem is generalized to fuzzy metric spaces.