On some operator colligations and associated reproducing kernel Pontryagin spaces

DOI10.1006/jfan.1996.0021zbMath0923.47007OpenAlexW2000731955MaRDI QIDQ1911527

A. Duksma, Daniel Alpay, Hendrik S. V. de Snoo, Vladimir Bolotnikov

Publication date: 24 November 1998

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

Full work available at URL: https://semanticscholar.org/paper/2636e73a5a79abdbf56ec5b9fc5a2d7c61aedf76

zbMATH Keywords

Schur functionreproducing kernel Hilbert spacereproducing kernel Pontryagin spacescoisometric realizationbounded operators between Pontryagin spaces

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators on spaces with an indefinite metric (47B50) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (8)

Minimal realizations and determinantal representations in the indefinite setting ⋮ Beurling-Lax type theorems and Cuntz relations ⋮ Editorial Introduction ⋮ Theory of subdualities ⋮ A Schur transformation for functions in a general class of domains ⋮ Beurling-Lax type theorems in the complex and quaternionic setting ⋮ Realizations for Schur upper triangular operators centered at an arbitrary point ⋮ Realizations of slice hyperholomorphic generalized contractive and positive functions

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