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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
| 1. | Department of Mathematics, East Ukrainian National University, Lugansk, 91034, Ukraine |
| 2. | Department of Mathematics, POB 2044, Niagara University, NY 14109, United States |
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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Xiaoying Chen, Chong Zhang, Zonglin Shi, Weidong Xiao. Spatio-temporal keywords queries in HBase. Big Data & Information Analytics, 2016, 1 (1) : 81-91. doi: 10.3934/bdia.2016.1.81 |
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