21 citations · 116 across the 45 of their papers we have counts for
52 papers
Finite determination for embeddings into Banach spaces: new proof, low distortion
Florin Catrina, Mikhail I. Ostrovskii
The main goal of this paper is to improve the result of Ostrovskii (2012) on the finite determination of bilipschitz and coarse embeddability of locally finite metric spaces into B…
Cycle spaces: invariant projections and applications to transportation cost
Stephen J. Dilworth, Denka Kutzarova, Mikhail I. Ostrovskii
The paper starts with discussion of applications of cycle spaces to transportation cost. After a short survey of the known results on cycle spaces, we turn to the study of minimal…
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…
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…
Weak closures and derived sets for convex sets in dual Banach spaces
Mikhail I. Ostrovskii
The paper is devoted to the convex-set counterpart of the theory of weak derived sets initiated by Banach and Mazurkiewicz for subspaces. The main result is the following: For…
Isometric structure of transportation cost spaces on finite metric spaces
Sofiya Ostrovska, Mikhail I. Ostrovskii
The paper is devoted to isometric Banach-space-theoretical structure of transportation cost (TC) spaces on finite metric spaces. The TC spaces are also known as Arens-Eells, Lipsch…