Geodesic
Functional model of commutative operator systems
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (2008) no. 3, pp. 420-440 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{JMAG_2008_4_3_a6,
     author = {V. A. Zolotarev},
     title = {Functional model of commutative operator systems},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {420--440},
     year = {2008},
     volume = {4},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2008_4_3_a6/}
}
TY  - JOUR
AU  - V. A. Zolotarev
TI  - Functional model of commutative operator systems
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2008
SP  - 420
EP  - 440
VL  - 4
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JMAG_2008_4_3_a6/
LA  - en
ID  - JMAG_2008_4_3_a6
ER  - 
%0 Journal Article
%A V. A. Zolotarev
%T Functional model of commutative operator systems
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2008
%P 420-440
%V 4
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_2008_4_3_a6/
%G en
%F JMAG_2008_4_3_a6
V. A. Zolotarev. Functional model of commutative operator systems. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (2008) no. 3, pp. 420-440. http://geodesic.mathdoc.fr/item/JMAG_2008_4_3_a6/

[1] V. A. Zolotarev, “Isometric Expansions of Commutative Systems of Linear Operators”, Mat. fiz., analiz, geom., 11 (2004), 282–301 (Russian) | MR | Zbl

[2] V. A. Zolotarev, Analitic Methods of Spectral Representations of Nonselfadjoint and Nonunitary Operators, MagPress, Kharkov, 2003 (Russian)

[3] V. A. Zolotarev, “On Isometric Dilations of Commutative Systems of Linear Operators”, J. Math. Phys., Anal., Geom., 1 (2005), 192–208 | MR | Zbl

[4] V. A. Zolotarev, “Scattering Scheme with Many Parameters and Translational Models of Commutative Operator Systems”, J. Math. Phys., Anal., Geom., 3 (2007), 424–447 | MR | Zbl

[5] J. A. Ball, V. Vinnikov, “Hardy Spaces on a Finite Bordered Riemann Surface, Multivariable Operator Model Theory and Fourier Analysis Along a Unimodular Curve”, Systems, Approximation, Singular Integral Operators, and Related Topics, Int. Workshop on Operator Theory and Appl., eds. Alexander A. Borichev, Nicolai K. Nikolskii, IWOTA, 2000, 37–56 | MR

[6] M. S. Livs̆ic, N. Kravitsky, A. Markus, V. Vinnikov, Theory of Commuting Nonselfadjoint Operators, Math. Appl., 332, Kluver Acad. Publ. Groups, Dordrecht, 1995 | MR | Zbl

[7] V. A. Zolotarev, “Time Cones and Functional Model on the Riemann Surface”, Mat. Sb., 181 (1990), 965–994 (Russian) | MR | Zbl

[8] V. A. Zolotarev, “Model Representations of Commutative Systems of Linear Operators”, Funkts. Anal. i yego Prilozeniya, 1988, no. 22, 66–68 (Russian) | MR | Zbl

[9] B. Szökefalvi-Nagy, C. Foiaş, Harmony Analisys of Operators in the Hilbert Space, Mir, Moscow, 1970 (Russian)

[10] M. S. Brodskiy, “Unitary Operator Colligations and their Characteristic Functions”, Usp. Mat. Nauk, 33:4 (1978), 141–168 (Russian) | MR