On Bessel Systems in a Banach Space
Matematičeskie zametki, Tome 91 (2012) no. 2, pp. 285-296
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We consider Bessel systems in a Banach space and study their operator and projective characteristics. Using an operator construction for the continuation of the system, we prove an analog of Schur's theorem on continuable systems.
Keywords:
Bessel system, Banach space, continuation of a Bessel system, linear operator, model space, Schur's theorem.
@article{MZM_2012_91_2_a9,
author = {P. A. Terekhin},
title = {On {Bessel} {Systems} in a {Banach} {Space}},
journal = {Matemati\v{c}eskie zametki},
pages = {285--296},
publisher = {mathdoc},
volume = {91},
number = {2},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_2_a9/}
}
P. A. Terekhin. On Bessel Systems in a Banach Space. Matematičeskie zametki, Tome 91 (2012) no. 2, pp. 285-296. http://geodesic.mathdoc.fr/item/MZM_2012_91_2_a9/