Quasinormability of some spaces of holomorphic mappings.

José M. Isidro

Displaying similar documents to “Quasinormability of some spaces of holomorphic mappings.”

Holomorphy types for open subsets of a Banach space

Richard Aron (1973)

Studia Mathematica

Similarity:

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

Sean Dineen (1973)

Annales de l'institut Fourier

Similarity:

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 ...

Holomorphy types on a Banach spaces

Seán Dineen (1971)

Studia Mathematica

Similarity:

On holomorphy in Banach spaces and absolute convergence of Fourier series

Matos, Mário C. (1988)

Portugaliae mathematica

Similarity:

Symmetric bases of locally convex spaces

D. Garling (1968)

Studia Mathematica

Similarity:

An expansion theorem for nonanalytic functions in several complex variables.

Mario O. González (1973)

Collectanea Mathematica

Similarity:

Entire functions on locally convex spaces and convolution operators

Mario C. Matos, Leopoldo Nachbin (1981)

Compositio Mathematica

Similarity:

Weighted spaces of holomorphic functions on Banach spaces

D. García, M. Maestre, P. Rueda (2000)

Studia Mathematica

Similarity:

We deal with weighted spaces $H V_{0} (U)$ and HV(U) of holomorphic functions defined on a balanced open subset U of a Banach space X. We give conditions on the weights to ensure that the weighted spaces of m-homogeneous polynomials constitute a Schauder decomposition for them. As an application, we study their reflexivity. We also study the existence of a predual. Several examples are provided.

On the exponential of a bounded linear operator in a L(E,E) algebra

Freire, Nuno C. (1991)

Portugaliae mathematica

Similarity: