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arXiv · 1005.1814

Approximation of continuous functions on Fr\'echet spaces

M. A. Mytrofanov·A. V. Ravsky
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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.

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M. A. Mytrofanov, A. V. Ravsky. 2010-05-11. Approximation of continuous functions on Fr\'echet spaces. https://arxiv.org/abs/1005.1814

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