Journal of applied mathematics & informatics

  • 제8권2호
  • /
  • Pages.659-668
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  • 2001
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

REPRODUCING KERNEL KREIN SPACES

  • 발행 : 2001.05.01

⟨ 이전 논문 다음 논문 ⟩

초록

Let S(z) be a power series with operator coefficients such that multiplication by S(z) is an everywhere defined transformation in the square summable power series C(z). In this paper we show that there exists a reproducing kernel Krein space which is state space of extended canonical linear system with transfer function S(z). Also we characterize the reproducing kernel function of the state space of a linear system.

키워드

참고문헌

  1. Rocky Mountain Journal of Math v.22 Some remarks on reproducing kernel Krein spaces D.Alpay
  2. Trans. Amer. Math. Soc. v.305 Complementation in Krein spaces L.de Branges
  3. J. Functional Analysis v.81 Krein spaces of analytic functions L.de Branges
  4. Grundlehren der mathematischen Wissenschaften Square summable power series L.de Branges
  5. Functional Analysis Ⅱ,Proceedings Dubrovnic 1985, Lecture Notes 1242 Unitary colligations in Krein spaces and their role in the extension theory of isometries and symmetric linear relations in Hilbert spaces A.Dijksma;H.Langer;H.de Snoo
  6. J. Functional Analysis v.89 A lifting theorem for bicontractions M.Dritschel
  7. Integral equa.and Oper.Th. v.19 A construction of unitary linear system M.Yang