Schur polynomials, entrywise positivity preservers, and weak majorization

zbMath1411.05263MaRDI QIDQ2632660

Apoorva Khare, Terence C. Tao

Publication date: 15 May 2019

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2018//14-Khare-Tao.html

zbMATH Keywords

Schur polynomialtotally positive matrixpositive semidefinite matrixweak majorizationSchur positivityCauchy-Binet formula

Mathematics Subject Classification ID

Related Items (3)

Smooth entrywise positivity preservers, a Horn–Loewner master theorem, and symmetric function identities ⋮ A panorama of positivity. II: Fixed dimension ⋮ Sharp nonzero lower bounds for the Schur product theorem

Cites Work

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• The fundamental blossoming inequality in Chebyshev spaces. I: Applications to Schur functions
• Moment-sequence transforms
• Positive definite functions on spheres
• On the sign patterns of entrywise positivity preservers in fixed dimension
• Schur positivity and Schur log-concavity
• The Theory of Infinitely Divisible Matrices and Kernels
• Inequalities: theory of majorization and its applications
• Inequalities for symmetric means

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