Some Remarks on Smooth Mappings of Hilbert and Banach Spaces and Their Local Convexity Property
Some Remarks on Smooth Mappings of Hilbert and Banach Spaces and Their Local Convexity Property
We analyze smooth nonlinear mappings for Hilbert and Banach spaces that carry small balls to convex sets, provided that the radii of the balls are small enough. We focus on the study of new and mildly sufficient conditions for the nonlinear mapping of Hilbert and Banach spaces to be locally …