AbstractIn this paper we prove that if U is an open subset of a metrizable locally convex space E of infinite dimension, the space H(U) of all holomorphic functions on U, endowed with the Nachbin–Coeuré topology τδ, is not metrizable. Our result can be applied to get that, for all usual topologies, H(U) is metrizable if and only if E has finite dimension
AbstractLet X be a compact convex subset of a Hausdorff locally convex real topological vector space...
AbstractWe study the approximation property for spaces of Fréchet and Gâteaux holomorphic functions ...
AbstractThis paper studies the metrizability and various kinds of completeness property of the space...
AbstractIn this paper we prove, among other things, that the space of all holomorphic functions on a...
summary:For a Tychonoff space $X$, let $\downarrow {\rm C}_F(X)$ be the family of hypographs of all ...
This paper is devoted to study the space A(U) of all analytic functions on an open subset U of RN or...
AbstractFor an open subset U of a locally convex space E, let (H(U),τ0) denote the vector space of a...
AbstractThe metrizability number m(X) of a space X is the smallest cardinal number κ such that X can...
AbstractIf E is a complex Fréchet space, F is an infinite dimensional closed subspace of E such that...
Througout in this paper, all spaces are metrizable and E denotes a locally convex linear metric spac...
In this essay we give a sufficient background to, and prove, the classical Bing-Nagata-Smirnov metri...
Abstract. Let X be a topological group or a convex set in a linear metric space. We prove that X is ...
We characterise those topological spaces for which every quotient image is metrizable. This suppleme...
For an open subset U of a locally convex space E, let (H(U), tau(0)) denote the vector space of all ...
AbstractIt is shown that a compact K-metrizable space with a dense monotonically normal subspace is ...
AbstractLet X be a compact convex subset of a Hausdorff locally convex real topological vector space...
AbstractWe study the approximation property for spaces of Fréchet and Gâteaux holomorphic functions ...
AbstractThis paper studies the metrizability and various kinds of completeness property of the space...
AbstractIn this paper we prove, among other things, that the space of all holomorphic functions on a...
summary:For a Tychonoff space $X$, let $\downarrow {\rm C}_F(X)$ be the family of hypographs of all ...
This paper is devoted to study the space A(U) of all analytic functions on an open subset U of RN or...
AbstractFor an open subset U of a locally convex space E, let (H(U),τ0) denote the vector space of a...
AbstractThe metrizability number m(X) of a space X is the smallest cardinal number κ such that X can...
AbstractIf E is a complex Fréchet space, F is an infinite dimensional closed subspace of E such that...
Througout in this paper, all spaces are metrizable and E denotes a locally convex linear metric spac...
In this essay we give a sufficient background to, and prove, the classical Bing-Nagata-Smirnov metri...
Abstract. Let X be a topological group or a convex set in a linear metric space. We prove that X is ...
We characterise those topological spaces for which every quotient image is metrizable. This suppleme...
For an open subset U of a locally convex space E, let (H(U), tau(0)) denote the vector space of all ...
AbstractIt is shown that a compact K-metrizable space with a dense monotonically normal subspace is ...
AbstractLet X be a compact convex subset of a Hausdorff locally convex real topological vector space...
AbstractWe study the approximation property for spaces of Fréchet and Gâteaux holomorphic functions ...
AbstractThis paper studies the metrizability and various kinds of completeness property of the space...
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