58 citations · 133 across the 18 of their papers we have counts for
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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★ 3 cited
A New Method of Extension of Local Maps of Banach Spaces. Applications and Examples
Genrich Belitskii, Victoria Rayskin
A known classical method of extension of smooth local maps of Banach spaces uses smooth bump functions. However, such functions are absent in the majority of infinite-dimensional B…
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…