Geodesic
Infinite distohastic square operators in $l_1$
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 76 (2022), pp. 20-31 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article is devoted to bistochastic quadratic operators. The concept of a bistochastic quadratic operator is introduced and the property of such operators is studied. A necessary and sufficient condition for bistochasticity is given. An analogue of Birkhoff's theorem is studied for the class of bistochastic quadratic operators. A sufficient condition for the extremity of bistochastic quadratic operators is obtained, and a necessary condition is also obtained for small dimensions. The concept of bistochastic quadratic operators is generalized, and the concept of a bistochastic operator of arbitrary order is introduced.
Keywords: bistochastic quadratic operator, infinite-dimensional bistochastic quadratic operator, extreme points of the set of bistochastic matrices. 
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A. A. Imomov; A. I. Eshniyazov. Infinite distohastic square operators in $l_1$. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 76 (2022), pp. 20-31. http://geodesic.mathdoc.fr/item/VTGU_2022_76_a1/

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