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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.FA2010★ 1 cited
Constructing non-compact operators into
Iryna Banakh, Taras Banakh
We prove that for each dense non-compact linear operator between Banach spaces there is a linear operator such that the operator is not compac…