Stack Exchange

Mikhail Ostrovskii

New York, United States

http://facpub.stjohns.edu/ostrovsm/

I think that MathOverflow is a very interesting and useful web site. I try to answer those questions which I can answer without devoting to this significant time (exceptions are given to those questions which I consider as interesting research problems, alas, no success so far).

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Top Questions
30 votes

Isometric embeddings of finite subsets of $\ell_2$ into infinite-dimensional Banach spaces

mg.metric-geometry banach-spaces metric-embeddings asked Oct 18 '15 at 0:44
mathoverflow.net

27 votes

Do there exist infinite-dimensional Banach spaces in which every bounded linear operator attains its norm?

fa.functional-analysis banach-spaces operator-theory norms operator-norms asked Feb 27 '16 at 18:53
mathoverflow.net

17 votes

Large almost equilateral sets in finite-dimensional Banach spaces

fa.functional-analysis mg.metric-geometry banach-spaces discrete-geometry metric-embeddings asked Nov 26 '14 at 18:15
mathoverflow.net

15 votes

Generalizing the Mazur-Ulam theorem to convex sets with empty interior in Banach spaces

mg.metric-geometry banach-spaces group-actions asked Dec 8 '15 at 17:55
mathoverflow.net

11 votes

Embeddings of finitely generated groups into uniformly convex Banach spaces

gr.group-theory mg.metric-geometry banach-spaces geometric-group-theory metric-embeddings asked Aug 19 '14 at 22:11
mathoverflow.net

11 votes

Is $\ell_p$ $(1<p<\infty)$ finitely isometrically distortable?

fa.functional-analysis mg.metric-geometry banach-spaces metric-spaces metric-embeddings asked Dec 27 '15 at 9:03
mathoverflow.net

10 votes

The number of relevant scales for a finite metric space

co.combinatorics graph-theory mg.metric-geometry asked Jul 27 '13 at 19:49
mathoverflow.net

6 votes

Large subspaces with small basic constants in finite-dimensional Banach spaces

banach-spaces asked Jul 26 '14 at 18:46
mathoverflow.net

6 votes

Embedding of real trees into $\ell_1(\Gamma)$

reference-request fa.functional-analysis mg.metric-geometry banach-spaces trees asked Dec 14 '15 at 4:04
mathoverflow.net

5 votes

On optimal dual solutions for the minimum weight perfect matching problems in the case of metric weights

linear-programming combinatorial-optimization matching-theory perfect-matchings asked May 27 at 0:23
mathoverflow.net


Top Answers