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Quasinormable spaces of poynomials.

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Ansemil, José María M. (1997) Quasinormable spaces of poynomials. Extracta Mathematicae, 12 (2). pp. 93-96. ISSN 0213-8743

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Abstract

Let E be a Fréchet space and p( n E) the space of n-homogeneous continuous polynomials on E, endowed with topology τ 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),τ b ) is quasinormable and all the natural topologies are different for n≥2.


Item Type:Article
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Papers from the congress held in Badajoz, November 6–8, 1996. Edited by J. M. F. Castillo, R. García and F. Cabello Sánchez

Uncontrolled Keywords:space of n-homogeneous continuous polynomials; uniform convergence on the bounded subsets; Fréchet space; quasinormable
Subjects:Sciences > Mathematics > Topology
ID Code:22552
Deposited On:24 Jul 2013 11:11
Last Modified:09 Aug 2018 10:21

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