A theorem on reproducing kernel Hilbert spaces of pairs

DOI10.1216/rmjm/1181072652zbMath0808.46034OpenAlexW1978723192MaRDI QIDQ1802691

Daniel Alpay

Publication date: 29 June 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072652

zbMATH Keywords

left and a right reproducing kernelreproducing kernel Hilbert and Banach spaces of pairs

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (8)

Finite dimensional de Branges spaces on Riemann surfaces ⋮ Discrete analytic functions, structured matrices and a new family of moment problems ⋮ Finitely additive functions in measure theory and applications ⋮ Restrictions and extensions of semibounded operators ⋮ Some reproducing kernel spaces of continuous functions ⋮ On linear combinations of positive functions, associated reproducing kernel spaces and a non Hermitian Schur algorithm ⋮ Realizations of holomorphic and slice hyperholomorphic functions: the Krein space case ⋮ Free noncommutative hereditary kernels: Jordan decomposition, Arveson extension, kernel domination

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