Quasinormability and topologies on spaces of polynomials

[摘要] 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. (C) 1997 Academic Press.

[发布日期] 1997-09-15