𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Products of FRECHET Spaces

✍ Scribed by Charles T. Kendrick

Publisher
John Wiley and Sons
Year
1975
Tongue
English
Weight
437 KB
Volume
65
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On tame pairs of Fréchet spaces
On tame pairs of Fréchet spaces
✍ Krzysztof Piszczek 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 206 KB

## Abstract We characterize tame pairs (__X__, __Y__) of Fréchet spaces where either __X__ or __Y__ is a power series space. For power series spaces of finite type, we get the well‐known conditions of (__DN__)‐(Ω) type. On the other hand, for power series spaces of infinite type, surprisingly, tame

On quotients of non-Archimedean Fréchet
On quotients of non-Archimedean Fréchet spaces
✍ Wiesław Śliwa 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB

## Abstract It is proved when a non‐Archimedean Fréchet space __E__ of countable type has a quotient isomorphic to 𝕂^ℕ^, __c__^ℕ^~0~ or __c__~0~ × 𝕂^ℕ^. It is also shown when __E__ has a non‐normable quotient with a continuous norm. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Hypercyclic Operators on Non-normable Fr
Hypercyclic Operators on Non-normable Fréchet Spaces
✍ José Bonet; Alfredo Peris 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 219 KB

Every infinite dimensional separable non-normable Fre chet space admits a continuous hypercyclic operator. A large class of separable countable inductive limits of Banach spaces with the same property is given, but an example of a separable complete inductive limit of Banach spaces which admits no h

Local Factorization of Differential Form
Local Factorization of Differential Forms on Fréchet–Schwartz Spaces
✍ Roberto Luiz Soraggi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 245 KB

The reduction of the Ѩ-problem on a Frechet nuclear space to the study of the Ѩ-operator on a Hilbert space produces a global solution u when the second member w factors globally through this Hilbert space. Easy counterexamples show that this global factorization is not in general possible and hence

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__ (_