Positive definite Hermitian matrices and reproducing kernels

DOI10.1016/0024-3795(82)90102-1zbMath0515.15009OpenAlexW2044601077MaRDI QIDQ1051713

Saburou Saitoh

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90102-1

zbMATH Keywords

Hermitian matricespositive definite matricesHadamard productsinner productsquadratic inequalitiestheory of reproducing kernels

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Quadratic and bilinear forms, inner products (15A63)

Related Items (3)

Quadratic inequalities deduced from the theory of reproducing kernels ⋮ Quadratic inequalities associated with integrals of reproducing kernels ⋮ Convexity of the inverse and Moore-Penrose inverse

Cites Work

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• Some inequalities for analytic functions with a finite Dirichlet integral on the unit disc
• Integral transform by the product of two Szegoe kernel functions
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
• On rings of operators
• Some Inequalities for Entire Functions
• The Bergman Norm and the Szego Norm
• The Dirichlet Norm and the Norm of Szego Type
• Theory of Reproducing Kernels

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