Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part X, Tome 107 (1982), pp. 189-192
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Yu. Sh. Abramov. Duality in spectral optimization and numerical ranges of a family of self-adjoint operators. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part X, Tome 107 (1982), pp. 189-192. http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a12/
@article{ZNSL_1982_107_a12,
author = {Yu. Sh. Abramov},
title = {Duality in spectral optimization and numerical ranges of a~family of self-adjoint operators},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {189--192},
year = {1982},
volume = {107},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a12/}
}
TY - JOUR
AU - Yu. Sh. Abramov
TI - Duality in spectral optimization and numerical ranges of a family of self-adjoint operators
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1982
SP - 189
EP - 192
VL - 107
UR - http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a12/
LA - ru
ID - ZNSL_1982_107_a12
ER -
%0 Journal Article
%A Yu. Sh. Abramov
%T Duality in spectral optimization and numerical ranges of a family of self-adjoint operators
%J Zapiski Nauchnykh Seminarov POMI
%D 1982
%P 189-192
%V 107
%U http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a12/
%G ru
%F ZNSL_1982_107_a12
It is shown that the main condition under which the duality relation is valid in the problems of spectral optimization is related to the numerical ranges of a family of self-adjoint operators.