Reproducing kernels and Riccati equations

• Autorzy: Harry Dym
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix valued functions that are J-unitary on the imaginary axis in a natural way.

Słowa kluczowe

EN

-inner matrixvalued functions; Riccati equations; Lyapunov equations; reproducing kernel spaces; -unitary matrix valued functions; de Branges spaces

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: 11
• Numer: 1
• Strony: 35-53

Daty

wydano

2001

otrzymano

2000-09-01

poprawiono

2001-01-01

Twórcy

autor

Harry Dym

• Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel

Bibliografia

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• Dym H. (1994): Shifts, realizations and interpolation, redux, In: Operator Theory and its Applications (A. Feintuch and I. Gohberg, Eds.). - Oper. Theory Adv. Appl., Vol.OT73, Basel: Birkhauser, pp.182-243.
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