Matematičeskie zametki, Tome 7 (1970) no. 6, pp. 753-763
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D. R. Yafaev. Negative spectrum of the Schrödinger operational equation. Matematičeskie zametki, Tome 7 (1970) no. 6, pp. 753-763. http://geodesic.mathdoc.fr/item/MZM_1970_7_6_a11/
@article{MZM_1970_7_6_a11,
author = {D. R. Yafaev},
title = {Negative spectrum of the {Schr\"odinger} operational equation},
journal = {Matemati\v{c}eskie zametki},
pages = {753--763},
year = {1970},
volume = {7},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_6_a11/}
}
TY - JOUR
AU - D. R. Yafaev
TI - Negative spectrum of the Schrödinger operational equation
JO - Matematičeskie zametki
PY - 1970
SP - 753
EP - 763
VL - 7
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_6_a11/
LA - ru
ID - MZM_1970_7_6_a11
ER -
%0 Journal Article
%A D. R. Yafaev
%T Negative spectrum of the Schrödinger operational equation
%J Matematičeskie zametki
%D 1970
%P 753-763
%V 7
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_6_a11/
%G ru
%F MZM_1970_7_6_a11
The negative part of the spectrum of Schrödinger's equation with a completely continuous operational potential is studied. Several conditions are obtained for the discreteness and boundedness of the negative spectrum, already known for the scalar and matrix cases.