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Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces

100%

Płonka P.

Annales Mathematicae Silesianae

2016

tom 30

nr 1

129-142

In this paper we want to show the existence of a form of asymptotic stability of random dynamical systems in the sense of L. Arnold using arguments analogous to those presented by T. Szarek in [6], that is showing it using conditions generalizing the notion of tightness of measures. In order to do that we use tightness theory for random measures as developed by H. Crauel in [2].

Unbounded Hermitian operators and relative reproducing kernel Hilbert space

81%

Jorgensen P.

Open Mathematics

2010

tom 8

nr 3

569-596

We study unbounded Hermitian operators with dense domain in Hilbert space. As is known, the obstruction for a Hermitian operator to be selfadjoint or to have selfadjoint extensions is measured by a pair of deficiency indices, and associated deficiency spaces; but in practical problems, the direct computation of these indices can be difficult. Instead, in this paper we identify additional structures that throw light on the problem. We will attack the problem of computing deficiency spaces for a single Hermitian operator with dense domain in a Hilbert space which occurs in a duality relation with a second Hermitian operator, often in the same Hilbert space.

Ograniczanie wyników

1 Annales Mathematicae Silesianae

1 Open Mathematics

1 Jorgensen P.

1 Płonka P.

1 2016

1 2010

Wyniki wyszukiwania

Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces

Unbounded Hermitian operators and relative reproducing kernel Hilbert space