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Semigroups of finite-dimensional random projections.

Authors :
Dorogovtsev, Andrey
Source :
Lithuanian Mathematical Journal. Jul2011, Vol. 51 Issue 3, p330-341. 12p.
Publication Year :
2011

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*SEMIGROUPS (Algebra)
*RANDOM operators
*KOLMOGOROV complexity
*STOCHASTIC processes
*HILBERT space

Details

Language :
English
ISSN :
03631672
Volume :
51
Issue :
3
Database :
Academic Search Index
Journal :
Lithuanian Mathematical Journal
Publication Type :
Academic Journal
Accession number :
65138137
Full Text :
https://doi.org/10.1007/s10986-011-9130-8
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