On the sign patterns of entrywise positivity preservers in fixed dimension

DOI10.1353/ajm.2021.0049zbMath1487.30003arXiv1708.05197OpenAlexW2749223062MaRDI QIDQ5024333

Apoorva Khare, Terence C. Tao

Publication date: 31 January 2022

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.05197

zbMATH Keywords

power seriesentrywise positivity preserving matrices

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Power series (including lacunary series) in one complex variable (30B10)

Related Items (12)

Smooth entrywise positivity preservers, a Horn–Loewner master theorem, and symmetric function identities ⋮ Matrix compression along isogenic blocks ⋮ Schur polynomials, entrywise positivity preservers, and weak majorization ⋮ Moment-sequence transforms ⋮ Preservers of totally positive kernels and Pólya frequency functions ⋮ On the Hadamard product of degenerate subvarieties ⋮ On the rank of Hankel matrices over finite fields ⋮ Norms on complex matrices induced by complete homogeneous symmetric polynomials ⋮ Totally positive kernels, Pólya frequency functions, and their transforms ⋮ Extended commonality of paths and cycles via Schur convexity ⋮ From Cauchy's determinant formula to bosonic and fermionic immanant identities ⋮ C*-algebraic Schur product theorem, P\'{o}lya-Szeg\H{o}-Rudin question and Novak's conjecture

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