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math.FA2026
On closed linear subspaces embedded into Banach spaces and their finite-dimensionality
Yarema Prykarpatskyy, Alexander Balinsky
This paper studies a Grothendieck-type finite-dimensionality problem for closed linear subspaces embedded in Banach spaces. Let be a closed linear sub…
math.FA2021
Some remarks on smooth mappings of Hilbert and Banach spaces and their local convexity property
Yarema A. Prykarpatskyy, Petro Ya. Pukach, Myroslava I. Vovk +1
We analyze smooth nonlinear mappings for Hilbert and Banach spaces that carry small balls to convex sets, provided that the radius of the balls is small enough. Being focused on th…