@article{JMAG_2009_5_3_a2,
author = {V. A. Zolotarev},
title = {On commutative systems of nonselfadjoint unbounded linear operators},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {275--295},
year = {2009},
volume = {5},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2009_5_3_a2/}
}
V. A. Zolotarev. On commutative systems of nonselfadjoint unbounded linear operators. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (2009) no. 3, pp. 275-295. http://geodesic.mathdoc.fr/item/JMAG_2009_5_3_a2/
[1] M. S. Livšic, “On a Certain Class of Linear Operators in Hilbert Space”, Mat. Sb., 19(61):2 (1946), 239–262 (Russian) | MR | Zbl
[2] A. V. Kuzhel, “On the Reduction of Unbounded Nonselfadjoint Operators to Triangular Form”, DAN SSSR, 119 (1958), 868–871 (Russian) | MR | Zbl
[3] A. Kuzhel, Characteristic Functions and Models of Nonselfadjoint Operator, Kluwer Acad. Publ., Dordrecht–London, 1996 | MR | Zbl
[4] A. V. Shtraus, “Characteristic Functions of Linear Operators”, Izv. AN SSSR. Ser. Mat., 24:1 (1960), 43–74 (Russian) | MR | Zbl
[5] E. R. Tsekanovskiy, Yu. L. Shmul'yan, “Questions in the Theory of the Extension of Unbounded Operators in Rigged Hilbert Spaces”, Itogi Nauki. Mat. Analiz, 14, 1977, 59–100 (Russian) | MR
[6] V. A. Derkach, M. M. Malamud, “Generated Resolvents and the Boundary Value Problems for Hermitian Operators with Gaps”, J. Funct. Anal., 95:1 (1991), 1–95 | DOI | MR | Zbl
[7] B. S. Pavlov, “Spectral Analysis of a Dissipative Shrödinger Operator in Terms of a Functional Model”, Itogi Nauki. Sovr. Probl. Mat., Fund. Napravl., 65, VINITI, 1991, 95–163 (Russian) | MR
[8] M. S. Livšic, N. Kravitsky, A. Markus, V. Vinnikov, Theory of Commuting Nonselfadjoint Operators, Kluwer Acad. Publ., Dordrecht–London, 1995 | MR | Zbl
[9] V. A. Zolotarev, “Time Cones and a Functional Model on a Riemann Surface”, Mat. Sb., 181:7 (1990), 965–994 (Russian) | MR | Zbl
[10] V. A. Zolotarev, Analytic Methods of Spectral Representations of Nonselfadjoint and Nonunitary Operators, MagPress, Kharkov, 2003 (Russian)
[11] Yu. I. Lyubich, “Linear Functional Analysis”, Itogi Nauki. Sovr. Probl. Mat., Fund. Napravl., 19, VINITI, 1988, 5–305 (Russian) | MR
[12] O. J. Staffans, Well-posed Linear Systems, Cambridge University Press, Cambridge, New York, 2005 | MR | Zbl