Lower order positivity and holomorphic operators

DOI10.1016/0022-1236(84)90023-5zbMath0535.32013OpenAlexW2041475946MaRDI QIDQ791001

Jacob Burbea

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90023-5

zbMATH Keywords

Hermitian kernelspositive-definite kernelsholomorphic extensions of operator-valued functionsPick-Nevanlinna interpolation

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Structure theory of linear operators (47A65) Banach analytic manifolds and spaces (32K05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (1)

Positive-Definiteness and its Applications to Interpolation Problems for Holomorphic Functions

Cites Work

• Unnamed Item
• Operator-valued Pick's conditions and holomorphicity
• Pick's theorem with operator-valued holomorphic functions
• Pick's conditions and analyticity
• On Quadratic and Bilinear Forms in Function Theory
• Theory of Reproducing Kernels

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