Mikhail I. Ostrovskii

activity

20082026

most citedUnitarizable representations and fixed points of groups of biholomorphic transformations of operator balls

8 citations · 19 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.FA2026

Quotients of $L_{1}$ by subsequences of the Haar system have cotype 2

Stephen Dilworth, Denka Kutzarova, Mikhail Ostrovskii +1

Let $Y$ be the closed linear span of a subsequence of the Haar system in $L_{1}$ . We prove that the quotient space $L_{1} / Y$ has cotype~ $2$ . This result implies that transportation cos…

math.FA2026

$L_{1}$ -distortion of Earth Mover Distances and Transportation Cost Spaces on High Dimensional Grids

Chris Gartland, Mikhail Ostrovskii, Yuval Rabani +1

We prove that the distortion of any embedding into $L_{1}$ of the transportation cost space or earth mover distance over a $d$ -dimensional grid ${1, \dots m}^{d}$ is $Ω (lo g N)$ , wher…

math.FA2026★ 1 cited

Lower Estimates for $L_{1}$ -Distortion of Transportation Cost Spaces

Chris Gartland, Mikhail Ostrovskii

Quantifying the degree of dissimilarity between two probability distributions on a finite metric space is a fundamental task in Computer Science and Computer Vision. A natural diss…

math.FA2015★ 5 cited

Distortion in the finite determination result for embeddings of locally finite metric spaces into Banach spaces

Sofiya Ostrovska, Mikhail I. Ostrovskii

Given a Banach space $X$ and a real number $α \geq 1$ , we write: (1) $D (X) \leq α$ if, for any locally finite metric space $A$ , all finite subsets of which admit bilipschitz embeddings…

math.FA2011

Auerbach bases and minimal volume sufficient enlargements

Mikhail I. Ostrovskii

Let $B_{Y}$ denote the unit ball of a normed linear space $Y$ . A symmetric, bounded, closed, convex set $A$ in a finite dimensional normed linear space $X$ is called a {\it sufficien…

math.FA2009★ 2 cited

Weak operator topology, operator ranges and operator equations via Kolmogorov widths

M. I. Ostrovskii, V. S. Shulman

Let $K$ be an absolutely convex infinite-dimensional compact in a Banach space $X$ . The set of all bounded linear operators $T$ on $X$ satisfying $T K \supset K$ …

Quotients of L1​ by subsequences of the Haar system have cotype 2

L1​-distortion of Earth Mover Distances and Transportation Cost Spaces on High Dimensional Grids