Convergence in Energy and the Sector Condition for Markov Processes
In an earlier paper , p. 148, dealing with properties of the energy of Markov processes, M. Rao and the author have shown that the so-called sector condition introduced by M. L. Silverstein , p. 17, is sufficient for the regularity of the limit potential. This paper will explain the meaning of the sector condition in relation to convergence in energy for certain classes of Markov processes.
KeywordsMarkov Process Cauchy Sequence Sector Condition Admissible Function Resolvent Operator
Unable to display preview. Download preview PDF.
- z.R. Pop-Stojanovic and Murali Rao. Remarks on Energy. Seminar on Stochastic Processes 1982, pp. 229–235, Birkhäuser, Boston, 1983. Google Scholar