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math.FA2022
Complementability of isometric copies of in transportation cost spaces
Sofiya Ostrovska, Mikhail I. Ostrovskii
This work aims to establish new results pertaining to the structure of transportation cost spaces. Due to the fact that those spaces were studied and applied in various contexts, t…
math.FA2022
Dvoretzky-type theorem for locally finite subsets of a Hilbert space
Florin Catrina, Sofiya Ostrovska, Mikhail I. Ostrovskii
The main result of the paper: Given any , every locally finite subset of admits a -bilipschitz embedding into an arbitrary infinite-dimensi…