Approximation of continuous functions on Fréchet spaces

M. A. Mytrofanov, A. V. Ravsky

Published 2010-05-11, updated 2015-04-23Version 2

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.