Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 495-498
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V. V. Shevchik. Spectrum of a linear operator in a family of banach spaces containing Hilbert space. Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 495-498. http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a3/
@article{MZM_1977_22_4_a3,
author = {V. V. Shevchik},
title = {Spectrum of a~linear operator in a~family of banach spaces containing {Hilbert} space},
journal = {Matemati\v{c}eskie zametki},
pages = {495--498},
year = {1977},
volume = {22},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a3/}
}
TY - JOUR
AU - V. V. Shevchik
TI - Spectrum of a linear operator in a family of banach spaces containing Hilbert space
JO - Matematičeskie zametki
PY - 1977
SP - 495
EP - 498
VL - 22
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a3/
LA - ru
ID - MZM_1977_22_4_a3
ER -
%0 Journal Article
%A V. V. Shevchik
%T Spectrum of a linear operator in a family of banach spaces containing Hilbert space
%J Matematičeskie zametki
%D 1977
%P 495-498
%V 22
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a3/
%G ru
%F MZM_1977_22_4_a3
The mutual relation is established between the spectra of a bounded linear operator acting in a family of Banach spaces. It is assumed in addition that one of the spaces is a Hilbert space and that the operator acting on it is self-adjoint. An example is presented illustrating the properties proved.
