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.
Mathematics Subject Classification:
Primary: 47A63, 47B25; Secondary: 47B6.
Yury Arlinskiĭ, Eduard Tsekanovskiĭ. Constant J-unitary factor and operator-valued transfer functions. Conference Publications,
Xiaoying Chen, Chong Zhang, Zonglin Shi, Weidong Xiao.
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