$m$-Accretive extensions of a~sectorial operator
Sbornik. Mathematics, Tome 204 (2013) no. 8, pp. 1085-1121
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A description of all the maximal accretive extensions and their resolvents is given for a densely defined closed sectorial operator in terms of abstract boundary conditions. These results are applied to parametrize all the $m$-accretive extensions of a symmetric operator in a planar model of one-centre point interaction.
Bibliography: 40 titles.
Keywords:
sectorial operator, accretive operator, linear relation, Friedrichs extension, boundary triplet.
@article{SM_2013_204_8_a0,
author = {Yu. M. Arlinskii and A. B. Popov},
title = {$m${-Accretive} extensions of a~sectorial operator},
journal = {Sbornik. Mathematics},
pages = {1085--1121},
publisher = {mathdoc},
volume = {204},
number = {8},
year = {2013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2013_204_8_a0/}
}
Yu. M. Arlinskii; A. B. Popov. $m$-Accretive extensions of a~sectorial operator. Sbornik. Mathematics, Tome 204 (2013) no. 8, pp. 1085-1121. http://geodesic.mathdoc.fr/item/SM_2013_204_8_a0/