Victoria Rayskin

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20172024

R^{n}

4 citations · 5 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.FA2019

Whitney's and Seeley's type of extensions for maps defined on some Banach spaces

Victoria Rayskin

Let $X = C [0, 1]$ , and $Y$ be an arbitrary Banach space. Consider a collection of open segments ${V_{i}} \subset X$ . Suppose the map $f : \cup_{i} V_{i} \to Y$ has $q$ bounded Fréchet deri…

math.FA2018

Extension of differentiable local mappings on linear topological spaces

Genrich Belitskii, Victoria Rayskin

Usually, for extension of local maps, one uses multiplication by so called bump functions. However, majority of infinite-dimensional linear topological spaces do not have smooth bu…

math.FA2017

Extension of local smooth maps of Banach spaces

Genrich Belitskii, Victoria Rayskin

It is known that smooth bump functions are absent in the majority of infinite-dimensional Banach spaces. This is an obstacle in the development of local analysis, in particular in…