Approximation of continuous functions on Fréchet spaces

Details Approximation of continuous functions on Fréchet spaces Approximation of continuous functions on Fréchet spaces

2010-05-11

arxiv.org/abs/1005.1814v1

Mathematics

Functional Analysis

9 pages, in Ukrainian

Scientific paper

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.

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