TY - JOUR
T1 - Orthogonal-preserving and surjective cubic stochastic operators
AU - Mukhamedov, Farrukh
AU - Embong, Ahmad Fadillah
AU - Rosli, Azizi
N1 - Publisher Copyright:
© 2017 by the Tusi Mathematical Research Group.
PY - 2017
Y1 - 2017
N2 - In the present paper, we consider cubic stochastic operators, and prove that the surjectivity of such operators is equivalent to their orthogonal-preserving property. In the last section we provide a full description of orthogonal-preserving (respectively, surjective) cubic stochastic operators on the 2( dimensional simplex.
AB - In the present paper, we consider cubic stochastic operators, and prove that the surjectivity of such operators is equivalent to their orthogonal-preserving property. In the last section we provide a full description of orthogonal-preserving (respectively, surjective) cubic stochastic operators on the 2( dimensional simplex.
KW - Cubic stochastic operator
KW - Orthogonal-preserving
KW - Surjective
UR - http://www.scopus.com/inward/record.url?scp=85032280938&partnerID=8YFLogxK
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U2 - 10.1215/20088752-2017-0013
DO - 10.1215/20088752-2017-0013
M3 - Article
AN - SCOPUS:85032280938
SN - 2008-8752
VL - 8
SP - 490
EP - 501
JO - Annals of Functional Analysis
JF - Annals of Functional Analysis
IS - 4
ER -