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Characterization of Fréchet algebrasC∞(X)

✍ Scribed by R. Faro; J. A. Navarro

Publisher
Springer
Year
1995
Tongue
English
Weight
692 KB
Volume
65
Category
Article
ISSN
0003-889X

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A characterization of distinguished Fréc
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## Abstract Bierstedt and Bonet proved in 1988 that if a metrizable locally convex space __E__ satisfies the Heinrich's density condition, then every bounded set in the strong dual (__E__ ′, __β__ (__E__ ′, __E__)) of __E__ is metrizable; consequently __E__ is distinguished, i.e. (__E__ ′, __β__ (_

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## Preface. The class of quasi-normable locally convex spaces has been introduced by GROTHENDIECK [4]. Recently VALDIVIA [7] and BIERSTEDT, NEISE and SUMXERS [2], [3] independently gave a characterization of the quasirnormability of the FR~CRET-KOTHE spaces A(A) resp. P ( I , A ) in terms of the K