The Theory of Infinitely Divisible Matrices and Kernels

DOI10.2307/1994714zbMath0177.05003OpenAlexW4233584629MaRDI QIDQ5569194

Roger A. Horn

Publication date: 1969

Full work available at URL: https://doi.org/10.2307/1994714

zbMATH Keywords

linear algebra, forms

Related Items (51)

Bidiagonal decompositions and total positivity of some special matrices ⋮ Smooth entrywise positivity preservers, a Horn–Loewner master theorem, and symmetric function identities ⋮ Matrix positivity preservers in fixed dimension. I ⋮ Matrix compression along isogenic blocks ⋮ Monotonicity for entrywise functions of matrices ⋮ Schur polynomials, entrywise positivity preservers, and weak majorization ⋮ Moment-sequence transforms ⋮ Determinantal inequalities for diagonally signed matrices and an application to Gram-Cauchy matrices ⋮ Functions Operating on Positive Definite Matrices and a Theorem of Schoenberg ⋮ An operator inequality and matrix normality ⋮ Rank of a Hadamard product ⋮ The Schur Product Theorem in the Block Case ⋮ Mean matrices and infinite divisibility ⋮ On Euclidean distance matrices ⋮ Constructing positive definite polynomials ⋮ Infinitely divisible nonnegative matrices, \(M\)-matrices, and the embedding problem for finite state stationary Markov chains ⋮ Totally positive kernels, Pólya frequency functions, and their transforms ⋮ Infinitely Divisible Positive Definite Sequences ⋮ Some concepts of positive dependence for bivariate interchangeable distributions ⋮ Critical exponents of graphs ⋮ On symmetric matrices with one positive eigenvalue and the interval property of some matrix classes ⋮ Notes on functions of hyperbolic type ⋮ Nonlinear completely positive maps and dilation theory for real involutive algebras ⋮ Fractional Hadamard powers of positive semidefinite matrices. ⋮ Positivity of Hadamard powers of a few band matrices ⋮ From Cauchy's determinant formula to bosonic and fermionic immanant identities ⋮ A panorama of positivity. II: Fixed dimension ⋮ Complete monotonicity for inverse powers of some combinatorially defined polynomials ⋮ On conditionally positive definite dot product kernels ⋮ Matrix positivity preservers in fixed dimension ⋮ Lieb functions and \(m\)-positivity of norms ⋮ C*-algebraic Schur product theorem, P\'{o}lya-Szeg\H{o}-Rudin question and Novak's conjecture ⋮ Simultaneous kernels of matrix Hadamard powers ⋮ Functions operating on positive-definite symmetric matrices ⋮ On inequalities between Hermitian and symmetric forms ⋮ Schur polynomials and matrix positivity preservers ⋮ Conditionally positive definite dot product kernels ⋮ On the \(\varkappa\)th root of a Stieltjes moment sequence ⋮ Operator monotone functions, positive definite kernels and majorization ⋮ Rang des matrices hermitiennes semi-definies positives indefiniment divisibles ⋮ Hadamard powers of some positive matrices ⋮ On multivariate infinitely divisible distributions ⋮ On fractional Hadamard powers of positive definite matrices ⋮ Preserving positivity for matrices with sparsity constraints ⋮ Positivity properties of some special matrices ⋮ Functions preserving positive definiteness for sparse matrices ⋮ Hadamard powers of rank two, doubly nonnegative matrices ⋮ Strictly Hermitian positive definite functions ⋮ The Marcus-de Oliveira conjecture, bilinear forms, and cones ⋮ Preserving positivity for rank-constrained matrices ⋮ On the sign patterns of entrywise positivity preservers in fixed dimension

Cites Work

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• On schlicht-monotonic functions of higher order
• Hilbert distances and positive definite functions
• On infinitely divisible matrices, kernels, and functions
• Infinitely Divisible Positive Definite Sequences
• On Analytic Continuation to a Schlicht Function
• On Boundary Values of a Schlicht Mapping
• What is the Laplace Transform?

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