Abstract
In this paper, we introduce semi-doubly stochastic (\({\mathcal {SDS}}\)) operators on \(L^1(X,\mu )\). The Ryff’s theorem extended to sigma-finite measure space using semi-doubly stochastic operators on \(L^1(X,\mu )\).
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This work was partially supported by the Department of Mathematical Sciences at the Isfahan University of Technology. The authors thank the anonymous referees for their useful comments.
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Communicated by Fuad Kittaneh.
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This work is partially supported by a Grant from Isfahan University of Technology.
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Bahrami, F., Manjegani, S.M. & Moein, S. Semi-doubly Stochastic Operators and Majorization of Integrable Functions. Bull. Malays. Math. Sci. Soc. 44, 693–703 (2021). https://doi.org/10.1007/s40840-020-00971-2
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DOI: https://doi.org/10.1007/s40840-020-00971-2