Quasinormability and topologies on spaces of polynomials
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1997
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Elsevier
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Martínez Ansemil, J. M., Blasco Contreras, F. & Ponte Miramontes, M. S. «Quasinormability and Topologies on Spaces of Polynomials». Journal of Mathematical Analysis and Applications, vol. 213, n.o 2, septiembre de 1997, pp. 534-39. DOI.org (Crossref), https://doi.org/10.1006/jmaa.1997.5555.
Abstract
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 particularity that all the natural topologies are different on it for n greater than or equal to 2.