Frechet spaces of non-archimedean valued continuous functions
| dc.contributor.author | Śliwa, Wiesław | |
| dc.date.accessioned | 2013-02-03T19:41:16Z | |
| dc.date.available | 2013-02-03T19:41:16Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | Let $X$ be an ultraregular space and let $K$ be a complete non-archimedean non-trivially valued field. Assume that the locally convex space $E$ = $C_c(X;K)$ of all continuous functions from $X$ to $K$ with the topology of uniform convergence on compact subsets of $X$ is a Frechet space. We shall prove that $E$ has an orthogonal basis consisting of $K$-valued characteristic functions of clopen (i.e. closed and open) subsets of $X$ and that it is isomorphic to the product of a countable family of Banach spaces with an orthonormal basis. | pl_PL |
| dc.description.sponsorship | The National Center of Science, Poland (grant no. N N201 605340) | pl_PL |
| dc.identifier.citation | J. Math. Anal. Appl., 385(2012), 345-353 | pl_PL |
| dc.identifier.uri | http://hdl.handle.net/10593/4298 | |
| dc.language.iso | en | pl_PL |
| dc.title | Frechet spaces of non-archimedean valued continuous functions | pl_PL |
| dc.type | Article | pl_PL |