Semigroups of finite-dimensional random projections



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.


stochastic semigroup random operator Kolmogorov widths stochastic flow 


60H25 60H10 


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© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  1. 1.Institute of MathematicsUkrainian Academy of SciencesKievUkraine

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