Información del autor
Autor Ansemil, José María M. |
Documentos disponibles escritos por este autor (33)
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Let E be a complex locally convex space, U a balanced open subset of E. The author continues the study of the quasinormability of the space Hb(U) of all holomorphic functions on U which are bounded on the U-bounded subsets of U. His main goal is[...]![]()
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Ansemil, José María M. ; Blasco Contreras, Fernando ; Ponte, Socorro | Università del Salento | 1997A property P of locally convex spaces is called a three-space property whenever the following implication holds: if both a closed subspace F and the corresponding quotient E/F of a locally convex space E have P then E has P as well. The authors [...]![]()
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Properties (BB)n, n = 2, 3, ... on a locally convex space (see the definition below) have been recently introduced ([10]). They are interesting, among other things, in connection with the study of natural topologies on spaces of polynomials, mul[...]![]()
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An example of a Frechet space E is given such that the space of n-homogeneous continuous polynomials on E, endowed with any of the natural topologies usually considered on it, is quasinormable for every n is an element of N. This space has the p[...]![]()
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Let E be a Fréchet space and p( n E) the space of n-homogeneous continuous polynomials on E, endowed with topology ? b of uniform convergence on the bounded subsets of E. The author gives an example of a Fréchet space E such that (p( n E),? b ) [...]![]()
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In this paper we give a survey on recent results concerning the coincidence or not of the compact-open and the Nachbin ported topologies on the space of all holomorphic functions on an open subset of a complex Fréchet space.'![]()
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Ansemil, José María M. ; Aron, Richard M. ; Ponte, Socorro | European Mathematical Society | 2009-06We prove the impossibility of expressing the space of entire functions on any infinite dimensional complex Banach space with a Schauder basis E as a countable union of spaces of entire functions that are bounded on countable open covers of E.![]()
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Ansemil, José María M. ; Ponte, Socorro | Real Academia de Ciencias Exactas, Físicas y Naturales | 2000This informative paper surveys applications of results in the theory of topological tensor products of Fréchet or (DF)-spaces to the topological structure of spaces of n-homogeneous continuous polynomials. Recent progress about tensor products w[...]![]()
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Let E be a complex locally convex space, F a closed subspace, and let ? be the canonical quotient mapping from E onto E/F. Let H(U) [resp. H(K)] be the set of holomorphic functions on the open set U of E [resp. the set of germs of holomorphic fu[...]![]()
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Let (X, ?) be a Riemann domain over a complex Fréchet space E, K a compact subset of X and (K) the vector space of all holomorphic germs on K. Given an F-quotient (XF, ?F, ?) of (X, ?) (see the definition below), the canonical mapping ? : X ? X[...]![]()
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Here we show how, in the general context of locally convex spaces, it is possible to get an n-tensor topology (on spaces of n-tensor products) from an n-tensor topology on spaces of symmetric n-tensors products. Indeed, given an n-tensor topolog[...]![]()
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Let H(U) be the space of holomorphic functions on an open subset U of a complex locally convex space E, and let H(K) be the space of holomorphic germs on a compact subset K of E. (For background on holomorphic functions on locally convex spaces [...]![]()
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The authors are concerned with the characterization of those functions holomorphic on EC? which are Fourier transforms of elements of ?? (E). Here E is a complete bornological vector space over R, ? (E) stands for the space of all complex-valued[...]![]()
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Ansemil, José María M. ; Ponte, Socorro ; López-Salazar Codes, Jerónimo | European Mathematical Society | 2015This paper is devoted to studying the space A(U) of all analytic functions on an open subset U of ?? or ??. It is proved that if U satisfies a weak condition (that will be called the 0-property), then every f ? A(U) depends only on afinite numbe[...]![]()
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An explicit representation of the n-fold symmetric tensor product (equipped with a natural topology tau such as the projective, injective or inductive one) of the finite direct sum of locally convex spaces is presented. The formula for circle ti[...]