Publication: Extremality and factorizability of Markov operators
1
Issued Date
2020-11-15
Resource Type
ISSN
10960813
0022247X
0022247X
Other identifier(s)
2-s2.0-85087763562
Rights
Mahidol University
Rights Holder(s)
SCOPUS
Bibliographic Citation
Journal of Mathematical Analysis and Applications. Vol.491, No.2 (2020)
Suggested Citation
Tanes Printechapat, Tippawan Santiwipanont, Songkiat Sumetkijakan Extremality and factorizability of Markov operators. Journal of Mathematical Analysis and Applications. Vol.491, No.2 (2020). doi:10.1016/j.jmaa.2020.124361 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/57992
Research Projects
Organizational Units
Authors
Journal Issue
Thesis
Title
Extremality and factorizability of Markov operators
Other Contributor(s)
Abstract
© 2020 Elsevier Inc. We prove that the extreme Markov operators that are factorizable as a composition of left and right invertible Markov operators must be one-sided invertible. It clearly follows that Markov operators, i.e. their corresponding doubly stochastic measures, with hairpin support are either invertible or non-factorizable. An alternative and more direct proof of this fact for Markov operators with full hairpin support is also given. We also demonstrate that there exists extreme, hence singular, Markov operator that is totally atomic.