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Publications Influence

Distances between Banach spaces

- N. Kalton, M. Ostrovskii
- Mathematics
- 8 September 1997

Abstract The main object of the paper is to study the distance between Banach spaces introduced by Kadets. For Banach spaces X and Y, the Kadets distance is defined to be the infimum of the Hausdorff… Expand

50 5- PDF

Minimum congestion spanning trees of grids and discrete toruses

- A. Castejón, M. Ostrovskii
- Mathematics, Computer Science
- Discuss. Math. Graph Theory
- 2009

TLDR

16 3- PDF

Metric dimensions of minor excluded graphs and minor exclusion in groups

- M. Ostrovskii, D. Rosenthal
- Mathematics, Computer Science
- Int. J. Algebra Comput.
- 11 September 2014

TLDR

8 3- PDF

Embeddability of locally finite metric spaces into Banach spaces is finitely determined

- M. Ostrovskii
- Mathematics
- 3 March 2011

The main purpose of the paper is to prove the following results: • Let A be a locally finite metric space whose finite subsets admit uniformly bilipschitz embeddings into a Banach space X. Then A… Expand

22 2- PDF

Topologies on the set of all subspaces of a banach space and related questions of banach space geometry

- M. Ostrovskii
- Mathematics
- 29 March 1993

Abstract The survey is devoted to two of the most common topologies on the set of all subspaces of a Banach space. The first part contains definitions of the topologies and a description of their… Expand

32 2- PDF

Minimum congestion spanning trees in planar graphs

- M. Ostrovskii
- Mathematics, Computer Science
- Discret. Math.
- 22 September 2009

TLDR

19 1- PDF

Sobolev spaces on graphs

- M. Ostrovskii
- Mathematics
- 1 December 2005

The present paper is devoted to discrete analogues of Sobolev spaces of smooth functions. The discrete analogues that we consider are spaces of functions on vertex sets of graphs. Such spaces have… Expand

22 1- PDF

Expansion properties of metric spaces not admitting a coarse embedding into a Hilbert space

- M. Ostrovskii
- Mathematics
- 3 March 2009

The main purpose of the paper is to find some expansion properties of locally finite metric spaces which do not embed coarsely into a Hilbert space. The obtained result is used to show that infinite… Expand

7 1- PDF

Extremal Problems for Operators in Banach Spaces Arising in the Study of Linear Operator Pencils

- V. A. Khatskevich, M. Ostrovskii, V. S. Shulman
- Mathematics
- 2005

Abstract.Inspired by some problems on fractional linear transformations the authors introduce and study the class of operators satisfying the condition
$$\left\| A \right\| = \max \{ \rho… Expand

3 1

Weak closures and derived sets in dual Banach spaces

- M. Ostrovskii
- Mathematics
- 26 March 2010

The main results of the paper: \textbf{(1)} The dual Banach space contains a linear subspace such that the set of all limits of weak convergent bounded nets in is a proper norm-dense subset of if and… Expand

3 1- PDF