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2003, 2003(Special): 48-56. doi: 10.3934/proc.2003.2003.48

Constant J-unitary factor and operator-valued transfer functions

Yury Arlinskiĭ 1, and  Eduard Tsekanovskiĭ 2,

1. 

Department of Mathematics, East Ukrainian National University, Lugansk, 91034, Ukraine
2. 

Department of Mathematics, POB 2044, Niagara University, NY 14109, United States

Received  September 2002 Published  April 2003

We study linear, conservative, stationary dynamical systems (l.c.s.d.s) with unbounded main operator and their transfer operator-valued functions. A new class of transfer operator-valued functions is introduced and shown that this class is invariant with respect to multiplication (from the left, from the right or both) by a constant J-unitary operator. The problem how to realize the product W(z)B as a transfer function of some l.c.s.d.s with an arbitrary J-unitary operator B and given realization of W(z) is considered.
Keywords: Keywords and Phrases.
Mathematics Subject Classification: Primary: 47A63, 47B25; Secondary: 47B6.
Citation: Yury Arlinskiĭ, Eduard Tsekanovskiĭ. Constant J-unitary factor and operator-valued transfer functions. Conference Publications, 2003, 2003 (Special) : 48-56. doi: 10.3934/proc.2003.2003.48
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