Weighted Fréchet spaces of holomorphic functions

• Autorzy: Elke Wolf
• Języki publikacji: EN

Abstrakty

EN

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.

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 174
• Numer: 3
• Strony: 255-275

Daty

wydano

2006

Twórcy

autor

Elke Wolf

• Mathematical Institute, University of Paderborn, D-33095 Paderborn, Germany

Identyfikatory

DOI

10.4064/sm174-3-3