Bull. Korean Math. Soc. 2012; 49(3): 481-493
Printed May 1, 2012
https://doi.org/10.4134/BKMS.2012.49.3.481
Copyright © The Korean Mathematical Society.
Meehyea Yang
University of Incheon
Let $S$ be a upper triangular operator such that $M_S^L : {\mathcal U}_2 \longrightarrow {\mathcal U}_2 $ defined by $M_S^L (F)=SF$ is a contraction. Then there exists an unitary linear system whose state space is the extension space ${\tilde {\mathcal D}}_L (S)$ associated with ${\mathcal H}_L (S)$.
Keywords: reproducing kernel, unitary linear system
MSC numbers: Primary 93B28, 47A48
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