A construction of Krein spaces of analytic functions

DOI10.1016/0022-1236(91)90089-NzbMath0745.46035MaRDI QIDQ1175018

Louis de Branges

Publication date: 25 June 1992

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

zbMATH Keywords

linear systemtransfer functionobservablesinvariant subspacecanonical formstate spacesquare summable power seriesdifference-quotient transformationexternal spacefactorizations for continuous transformationsKrein space generalization of complementation theoryKrein spaces of analytic functionspower series with operator coefficients

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Invariant subspaces of linear operators (47A15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Power series (including lacunary series) in one complex variable (30B10) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items

A construction of unitary linear systems ⋮ Reproducing Kernel Kreĭn Spaces ⋮ On linear combinations of positive functions, associated reproducing kernel spaces and a non Hermitian Schur algorithm

Cites Work

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