Construction of the functional model of B.~S.--Nagy--C.~Foias
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part VIII, Tome 73 (1977), pp. 16-23
Voir la notice de l'article provenant de la source Math-Net.Ru
Methodological paper: quick and simple construction of the Nagy–Foias functional model, using only elementary information about Hilbert spaces and operators on them. A formula is derived for a characteristic function. The account is based on an idea of B. S. Pavlov (Izv. Akad. Nauk SSSR, Ser. Mat.,39, No. 1, 123–148 (1975)) on symmetrization of the notation for a model space.
@article{ZNSL_1977_73_a1,
author = {V. I. Vasyunin},
title = {Construction of the functional model of {B.~S.--Nagy--C.~Foias}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {16--23},
publisher = {mathdoc},
volume = {73},
year = {1977},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_73_a1/}
}
V. I. Vasyunin. Construction of the functional model of B.~S.--Nagy--C.~Foias. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part VIII, Tome 73 (1977), pp. 16-23. http://geodesic.mathdoc.fr/item/ZNSL_1977_73_a1/