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math.MG2009★ 3 cited
Expansion properties of metric spaces not admitting a coarse embedding into a Hilbert space
M. I. Ostrovskii
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…
math.MG2009
Fixed points of holomorphic transformations of operator balls
M. I. Ostrovskii, V. S. Shulman, L. Turowska
A new technique for proving fixed point theorems for families of holomorphic transformations of operator balls is developed. One of these theorems is used to show that a bounded re…