Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 29, Tome 282 (2001), pp. 192-215
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S. M. Saprikin. Theory of linear descrete time-invariant dissipative scattering systems with state $\pi_\kappa$-spaces. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 29, Tome 282 (2001), pp. 192-215. http://geodesic.mathdoc.fr/item/ZNSL_2001_282_a12/
@article{ZNSL_2001_282_a12,
author = {S. M. Saprikin},
title = {Theory of linear descrete time-invariant dissipative scattering systems with state $\pi_\kappa$-spaces},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {192--215},
year = {2001},
volume = {282},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_282_a12/}
}
TY - JOUR
AU - S. M. Saprikin
TI - Theory of linear descrete time-invariant dissipative scattering systems with state $\pi_\kappa$-spaces
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2001
SP - 192
EP - 215
VL - 282
UR - http://geodesic.mathdoc.fr/item/ZNSL_2001_282_a12/
LA - ru
ID - ZNSL_2001_282_a12
ER -
%0 Journal Article
%A S. M. Saprikin
%T Theory of linear descrete time-invariant dissipative scattering systems with state $\pi_\kappa$-spaces
%J Zapiski Nauchnykh Seminarov POMI
%D 2001
%P 192-215
%V 282
%U http://geodesic.mathdoc.fr/item/ZNSL_2001_282_a12/
%G ru
%F ZNSL_2001_282_a12
An arbtrary operator-valued function in the generalized Shur class in realized as the transfer function of a minimal optimal and minimal $\ast$- optimal dissipative scattering system with Pontryagin state space. The results generalize D. Z. Arov's results for the Hilbert state space case.
