@article{Mytrofanov_Ravsky_2020, title={A note on approximation of continuous functions on normed spaces}, volume={12}, url={https://journals.pnu.edu.ua/index.php/cmp/article/view/3890}, DOI={10.15330/cmp.12.1.107-110}, abstractNote={<p>Let $X$ be a real separable normed space $X$ admitting a separating polynomial. We prove that each continuous function from a subset $A$ of $X$ to a real Banach space can be uniformly approximated by restrictions to $A$ of functions, which are analytic on open subsets of $X$. Also we prove that each continuous function to a complex Banach space from a complex separable normed space, admitting a separating $*$-polynomial, can be uniformly approximated by $*$-analytic functions.</p>}, number={1}, journal={Carpathian Mathematical Publications}, author={MytrofanovM.A. and RavskyA.V.}, year={2020}, month={Jun.}, pages={107-110} }