TY - JOUR
T1 - On non-linear Markov operators
T2 - surjectivity vs orthogonal preserving property
AU - Mukhamedov, Farrukh
AU - Embong, Ahmad Fadillah
N1 - Funding Information:
The first author is grateful to the UAEU Start-Up 2016 [grant number 31S259].
Publisher Copyright:
© 2017, © 2017 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2018/11/2
Y1 - 2018/11/2
N2 - In the present paper, we consider non-linear Markov operators, namely polynomial stochastic operators. We introduce a notion of orthogonal preserving polynomial stochastic operators. The purpose of this study is to show that surjectivity of non-linear Markov operators is equivalent to their orthogonal preserving property.
AB - In the present paper, we consider non-linear Markov operators, namely polynomial stochastic operators. We introduce a notion of orthogonal preserving polynomial stochastic operators. The purpose of this study is to show that surjectivity of non-linear Markov operators is equivalent to their orthogonal preserving property.
KW - 37A30
KW - 47H25
KW - 47H60
KW - Polynomial stochastic operator
KW - orthogonal preserving
KW - surjective
UR - http://www.scopus.com/inward/record.url?scp=85031503105&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85031503105&partnerID=8YFLogxK
U2 - 10.1080/03081087.2017.1389849
DO - 10.1080/03081087.2017.1389849
M3 - Article
AN - SCOPUS:85031503105
SN - 0308-1087
VL - 66
SP - 2183
EP - 2190
JO - Linear and Multilinear Algebra
JF - Linear and Multilinear Algebra
IS - 11
ER -