Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Minimal excessive measures and functions
HTML articles powered by AMS MathViewer

by E. B. Dynkin PDF
Trans. Amer. Math. Soc. 258 (1980), 217-244 Request permission

Abstract:

Let H be a class of measures or functions. An element h of H is minimal if the relation $h = {h_1} + {h_2}$, ${h_1}$, ${h_2} \in H$ implies that ${h_1}$, ${h_2}$ are proportional to h. We give a limit procedure for computing minimal excessive measures for an arbitrary Markov semigroup ${T_t}$ in a standard Borel space E. Analogous results for excessive functions are obtained assuming that an excessive measure $\gamma$ on E exists such that ${T_t}f = 0$ if $f = 0$ $\gamma$-a.e. In the Appendix, we prove that each excessive element can be decomposed into minimal elements and that such a decomposition is unique.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 60J50, 28D99, 47D07
  • Retrieve articles in all journals with MSC: 60J50, 28D99, 47D07
Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 258 (1980), 217-244
  • MSC: Primary 60J50; Secondary 28D99, 47D07
  • DOI: https://doi.org/10.1090/S0002-9947-1980-0554330-5
  • MathSciNet review: 554330