English

Semigroups of finite-dimensional random projections

Probability 2010-09-22 v1 Functional Analysis

Abstract

In this paper we present a complete description of a stochastic semigroup of finite-dimensional projections in Hilbert space. The geometry of such semigroups is characterized by the asymptotic behavior of the widths of compact subsets with respect to the subspaces generated by the semigroup operators.

Keywords

Cite

@article{arxiv.1009.4096,
  title  = {Semigroups of finite-dimensional random projections},
  author = {Andrey A. Dorogovtsev},
  journal= {arXiv preprint arXiv:1009.4096},
  year   = {2010}
}

Comments

13 pages

R2 v1 2026-06-21T16:16:56.860Z