Approximation of continuous functions on Fr\'echet spaces
Functional Analysis
2015-05-01 v3
Abstract
We consider approximations of a continuous function on a countable normed Fr\'{e}chet space by analytic and -analytic. Also we found a criterium of the existence of an extension of a continuous function from a dense subspace of a topological space onto the space.
Cite
@article{arxiv.1005.1814,
title = {Approximation of continuous functions on Fr\'echet spaces},
author = {M. A. Mytrofanov and A. V. Ravsky},
journal= {arXiv preprint arXiv:1005.1814},
year = {2015}
}
Comments
9 pages, in Ukrainian. English version is downloadable in the source file