C*-algebraic Schur product theorem, P\'{o}lya-Szeg\H{o}-Rudin question and Novak's conjecture

DOI10.4134/JKMS.j210627zbMath1494.46050arXiv2108.06662MaRDI QIDQ5089328

K. Mahesh Krishna

Publication date: 19 July 2022

Full work available at URL: https://arxiv.org/abs/2108.06662

zbMATH Keywords

Schur product theoremC*-algebrapositive matrixNovak's conjecturePólya-Szegő-Rudin questionSchur/Hadamard product

Mathematics Subject Classification ID

(C^*)-modules (46L08) Positive matrices and their generalizations; cones of matrices (15B48) General theory of (C^*)-algebras (46L05)

Cites Work

• Matrix positivity preservers in fixed dimension. I
• On positive positive-definite functions and Bochner's theorem
• Diagonalizing matrices over C(X)
• Positive definite sequences and absolutely monotonic functions
• Tractability of multivariate problems. Volume I: Linear information
• A generalization of \(A\circ A^{-1}\geq I\)
• Positive definite matrices and absolutely monotonic functions
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Positive definite functions and generalizations, an historical survey
• An observation on the Hadamard product of Hermitian matrices
• Diagonalizing operators in Hilbert modules over \(C^*\)-algebras
• Schur complements and matrix inequalities in the Löwner ordering
• Induced representations of C\(^*\)-algebras
• Diagonalizing matrices over \(AW^\ast\)-algebras
• Intractability results for positive quadrature formulas and extremal problems for trigonometric polynomials
• A quantitative version of the observation that the Hadamard product is a principal submatrix of the Kronecker product
• Inequalities involving Hadamard products of positive semidefinite matrices
• Lower bounds for the error of quadrature formulas for Hilbert spaces
• A variant of Schur's product theorem and its applications
• A panorama of positivity. I: Dimension free
• Fonctions opérant sur les fonctions définies-positives
• Hadamard products and multivariate statistical analysis
• Projections in Banach algebras
• Positive definite functions on spheres
• Nonself-adjoint Semicrossed Products by Abelian Semigroups
• A panorama of positivity. II: Fixed dimension
• Diagonalizing matrices over operator algebras
• Diagonalizing Matrices
• Über eine Ungleichung für positiv definite Matrizen
• Functions Operating on Positive Definite Matrices and a Theorem of Schoenberg
• Partitioned and Hadamard product matrix inequalities
• Schur complements and matrix inequalities of hadamard products^∗
• On the sign patterns of entrywise positivity preservers in fixed dimension
• Sharp nonzero lower bounds for the Schur product theorem
• Preserving positivity for rank-constrained matrices
• The Theory of Infinitely Divisible Matrices and Kernels
• Inner Product Modules Over B ∗ -Algebras
• Modules Over Operator Algebras
• Matrix theory. Basic results and techniques
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: C*-algebraic Schur product theorem, P\'{o}lya-Szeg\H{o}-Rudin question and Novak's conjecture