A Kreĭn space coordinate free version of the de Branges complementary space

DOI10.1016/j.jfa.2008.10.019zbMath1180.46018OpenAlexW2101277933MaRDI QIDQ1028315

Damir Z. Arov, Olof J. Staffans

Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.10.019

zbMATH Keywords

Hilbert spaceangular operatorstate spacequotient spaceKreĭn spacepassive systemmaximal nonnegative subspacesignal space

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Related Items

Applications of de Branges Spaces of Vector-Valued Functions ⋮ Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk ⋮ The infinite-dimensional standard and strict bounded real lemmas in continuous time: the storage function approach ⋮ Canonical conservative state/signal shift realizations of passive discrete time behaviors ⋮ Symmetries in special classes of passive state/signal systems ⋮ Canonical state/signal shift realizations of passive continuous time behaviors ⋮ Two canonical passive state/signal shift realizations of passive discrete time behaviors

Cites Work

• Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
• State/signal linear time-invariant systems theory. IV: Affine and generalized transfer functions of discrete time systems
• State/signal linear time‐invariant systems theory: passive discrete time systems
• Complementation in Krein Spaces
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