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math.FA2012★ 2 cited
On Local Convexity Of Nonlinear Mappings Between Banach Spaces
Iryna Banakh, Taras Banakh, Anatolij Plichko +1
We find conditions for a smooth nonlinear map between open subsets of Hilbert or Banach spaces to be locally convex in the sense that for some and each posit…
math.FA2012
Compactly convex sets in linear topological spaces
T. Banakh, M. Mitrofanov, O. Ravsky
A convex subset X of a linear topological space is called compactly convex if there is a continuous compact-valued map such that for all…