Geodesic
Extensions of symmetric relations
Matematičeskie zametki, Tome 22 (1977) no. 6, pp. 825-834

Voir la notice de l'article provenant de la source Math-Net.Ru

Maximal accretive and dissipative extensions of symmetric relations defined by abstract boundary conditions are considered in Hilbert space. Under the assumption that the resolvent of some extension has properties such as belonging to the Neumann–Shatten ideal or having given asymptotics of the $s$-numbers, either sufficient or necessary and sufficient conditions are found for a perturbation of the boundary conditions guaranteeing that the above properties are preserved for the resolvent of the perturbed extension. 
@article{MZM_1977_22_6_a4,
     author = {V. M. Bruk},
     title = {Extensions of symmetric relations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {825--834},
     publisher = {mathdoc},
     volume = {22},
     number = {6},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_6_a4/}
}
TY  - JOUR
AU  - V. M. Bruk
TI  - Extensions of symmetric relations
JO  - Matematičeskie zametki
PY  - 1977
SP  - 825
EP  - 834
VL  - 22
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1977_22_6_a4/
LA  - ru
ID  - MZM_1977_22_6_a4
ER  - 
%0 Journal Article
%A V. M. Bruk
%T Extensions of symmetric relations
%J Matematičeskie zametki
%D 1977
%P 825-834
%V 22
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_6_a4/
%G ru
%F MZM_1977_22_6_a4
V. M. Bruk. Extensions of symmetric relations. Matematičeskie zametki, Tome 22 (1977) no. 6, pp. 825-834. http://geodesic.mathdoc.fr/item/MZM_1977_22_6_a4/