Infinite Excessive and Invariant Measures.
Abstract
In the paper (Enhancing of Semigroups) the following problem was considered. Given a contraction semigroup T sub t on a Borel space D and an excessive measure nu, when is it possible to find another contraction semigroup approximately T sub t 1 such that approximately T sub t 1 > or = T sub t and nu is invariant with respect to approximately T sub t 1. The most restrictive condition under which this problem was solved is the finiteness of the excessive measure nu. This condition excludes such an interesting case as the semigroup T sub t generated by the transition function of Wiener's process and the Lebesque measure nu. In the present paper we extend the results to all quasi-finite null-excessive measures nu.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1981
- Accession Number
- ADA111667
Entities
People
- Michael I. Taksar
Organizations
- Stanford University