Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
This article deals with weighted Fréchet spaces of holomorphic functions which are defined as countable intersections of weighted Banach spaces of type $H^{∞}$. We characterize when these Fréchet spaces are Schwartz, Montel or reflexive. The quasinormability is also analyzed. In the latter case more restrictive assumptions are needed to obtain a full characterization.
Słowa kluczowe
Kategorie tematyczne
- 46A25: Reflexivity and semi-reflexivity
- 46A04: Locally convex Fr\'echet spaces and (DF)-spaces
- 46A13: Spaces defined by inductive or projective limits (LB, LF, etc.)
- 46A11: Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
- 46E10: Topological linear spaces of continuous, differentiable or analytic functions
Czasopismo
Rocznik
Tom
Numer
Strony
255-275
Opis fizyczny
Daty
wydano
2006
Twórcy
autor
- Mathematical Institute, University of Paderborn, D-33095 Paderborn, Germany
Bibliografia
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-3-3