Holomorphy types for open subsets of a Banach space

Richard Aron

Displaying similar documents to “Holomorphy types for open subsets of a Banach space”

Holomorphy types on a Banach spaces

Seán Dineen (1971)

Studia Mathematica

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Quasinormability of some spaces of holomorphic mappings.

José M. Isidro (1990)

Revista Matemática de la Universidad Complutense de Madrid

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A class of locally convex vector spaces with a special Schauder decomposition is considered. It is proved that the elements of this class, which includes some spaces naturally appearing in infinite dimensional holomorphy, are quasinormable though in general they are neither metrizable nor Schwartz spaces.

Holomorphic functions on locally convex topological vector spaces. I. Locally convex topologies on $ℋ (U)$

Sean Dineen (1973)

Annales de l'institut Fourier

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This article is devoted to a study of locally convex topologies on $H (U)$ (where $U$ is an open subset of the locally convex topological vector space $E$ and $H (U)$ is the set of all complex valued holomorphic functions on $E$ ). We discuss the following topologies on $H (U)$ : (a) the compact open topology $I_{0}$ , (b) the bornological topology associated with $I_{0}$ , (c) the ported topology of Nachbin $I_{ω}$ , (d) the bornological topology associated with $I_{ω}$ ; and ...

Symmetric bases of locally convex spaces

D. Garling (1968)

Studia Mathematica

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Spaces of holomorphic mappings on Banach spaces with a Schauder basis

Jorge Mujica (1997)

Studia Mathematica

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We show that if U is a balanced open subset of a separable Banach space with the bounded approximation property, then the space ℋ(U) of all holomorphic functions on U, with the Nachbin compact-ported topology, is always bornological.

On holomorphy in Banach spaces and absolute convergence of Fourier series

Matos, Mário C. (1988)

Portugaliae mathematica

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Entire functions on locally convex spaces and convolution operators

Mario C. Matos, Leopoldo Nachbin (1981)

Compositio Mathematica

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Integration of evolution equations in a locally convex space

V. Babalola (1974)

Studia Mathematica

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The approximation property of order p in locally convex spaces.

J. A. López Molina (1986)

Collectanea Mathematica

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