Necessary and sufficient conditions for doubly stochasticity of infinite-dimensional quadratic operators

DOI10.1016/j.laa.2012.08.011zbMath1268.47073OpenAlexW2021879318MaRDI QIDQ1932586

Farruh Shahidi

Publication date: 21 January 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.08.011

zbMATH Keywords

majorizationinfinite matrixquadratic stochastic operatorssubstochastic matrixdoubly stochastic quadratic operator

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Multilinear and polynomial operators (47H60) Stochastic matrices (15B51) Infinite-dimensional manifolds (46T05)

Related Items (3)

Dynamics of doubly stochastic quadratic operators on a finite-dimensional simplex ⋮ On infinite-dimensional dissipative quadratic stochastic operators ⋮ Prevalence problem in the set of quadratic stochastic operators acting on \(L^{1}\)

Cites Work

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• Matrix Analysis
• QUADRATIC STOCHASTIC OPERATORS, LYAPUNOV FUNCTIONS, AND TOURNAMENTS
• THE EIGEN- AND SINGULAR VALUES OF THE SUM AND PRODUCT OF LINEAR OPERATORS
• Convex Sets of Non-Negative Matrices
• Inequalities: theory of majorization and its applications

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