𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The bidual of a distinguished Fréchet space need not be distinguished

✍ Scribed by J. Bonet; S. Dierolf; C. Fernàndez

Book ID
112502635
Publisher
Springer
Year
1991
Tongue
English
Weight
182 KB
Volume
57
Category
Article
ISSN
0003-889X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A characterization of distinguished Fréc
A characterization of distinguished Fréchet spaces
✍ J. C. Ferrando; J. Ka̧kol; M. López Pellicer 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 86 KB

## 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__ (_

A Characterization of the Quasi-Normable
A Characterization of the Quasi-Normable Fréchet Spaces
✍ Reinhold Meise; Dietmar Vogt 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 466 KB

## 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