Loewner’s theorem for kernels having a finite number of negative squares

DOI10.1090/S0002-9939-99-04618-3zbMath0921.30027OpenAlexW1501820657MaRDI QIDQ4226332

James Rovnyak, Daniel Alpay

Publication date: 25 January 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04618-3

zbMATH Keywords

reproducing kernelPontryagin spacenegative squaresSchurNevanlinnaLoewnerLöwnerPick

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Moment problems and interpolation problems in the complex plane (30E05) Linear operators on spaces with an indefinite metric (47B50)

Related Items (3)

On the Loewner problem in the class $\mathbf {N}_{\kappa }$ ⋮ Some extensions of Loewner's theory of monotone operator functions. ⋮ Notes on interpolation in the generalized Schur class. II. Nudel’man’s problem

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