Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 71-78
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V. V. Kapustin. Characteristic functions and their factorizations. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 71-78. http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a4/
@article{ZNSL_1997_247_a4,
author = {V. V. Kapustin},
title = {Characteristic functions and their factorizations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {71--78},
year = {1997},
volume = {247},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a4/}
}
TY - JOUR
AU - V. V. Kapustin
TI - Characteristic functions and their factorizations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 71
EP - 78
VL - 247
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a4/
LA - ru
ID - ZNSL_1997_247_a4
ER -
%0 Journal Article
%A V. V. Kapustin
%T Characteristic functions and their factorizations
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 71-78
%V 247
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a4/
%G ru
%F ZNSL_1997_247_a4
A new definition of the characteristic function is introduced for contractions on Hilbert spaces. The relationship with the other definitions is established. A factorization formula corresponding to an invariant subspace is obtained.
