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Montel and reflexive preduals of spaces of holomorphic functions on Fréchet spaces

100%

Boyd C.

Studia Mathematica

1993

tom 107

nr 3

305-315

For U open in a locally convex space E it is shown in [31] that there is a complete locally convex space G(U) such that $G(U)'_i = (ℋ (U),τ_δ)$. Here, we assume U is balanced open in a Fréchet space and give necessary and sufficient conditions for G(U) to be Montel and reflexive. These results give an insight into the relationship between the $τ_0$ and $τ_ω$ topologies on ℋ (U).

Isometries between spaces of weighted holomorphic functions

63%

Boyd C., Rueda P.

Studia Mathematica

2009

tom 190

nr 3

203-231

We study isometries between spaces of weighted holomorphic functions. We show that such isometries have a canonical form determined by a group of homeomorphisms of a distinguished subset of the range and domain. A number of invariants for these isometries are determined. For specific families of weights we classify the form isometries can take.

Ograniczanie wyników

2 Studia Mathematica

2 Boyd C.

1 Rueda P.

1 2009

1 1993

Wyniki wyszukiwania

Montel and reflexive preduals of spaces of holomorphic functions on Fréchet spaces

Isometries between spaces of weighted holomorphic functions