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Quasinormability and Topologies on Spaces of Polynomials

✍ Scribed by José M Ansemil; Fernando Blasco; Socorro Ponte

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
151 KB
Volume
213
Category
Article
ISSN
0022-247X

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✦ Synopsis

An example of a Frechet space E is given such that the space of n-homogeneous ćontinuous polynomials on E, endowed with any of the natural topologies usually considered on it, is quasinormable for every n g N. This space has the particularity that all the natural topologies are different on it for n G 2.

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