A UNITARY LINEAR SYSTEM ON THE BIDISK

• Journal title : Honam Mathematical Journal
• Volume 29, Issue 4,  2007, pp.511-521
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2007.29.4.511
Title & Authors
A UNITARY LINEAR SYSTEM ON THE BIDISK
Yang, Meehyea; Hong, Bum-Il;

Abstract
Let S($\small{z_1}$, $\small{z_2}$) be a power series with operator coefficients such that multiplication by 5($\small{z_1}$, $\small{z_2}$) is a contractive transformation in the Hilbert space $\small{\mathbf{H}_2}$($\small{\mathbb{D}^2}$, C). In this paper we show that there exists a Hilbert space D($\small{\mathbb{D}}$,$\small{\bar{S}}$) which is the state space of extended canonical linear system with a transfer fucntion $\small{\bar{S}}$(z).
Keywords
Reproducing kernel function;Unitary linear system;
Language
English
Cited by
1.
FACTORIZATION OF A HILBERT SPACE ON THE BIDISK, Honam Mathematical Journal, 2009, 31, 4, 479
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