Linear Relations as Generators of Semigroups of Operators
Matematičeskie zametki, Tome 84 (2008) no. 2, pp. 175-192
Voir la notice de l'article provenant de la source Math-Net.Ru
The theory of semigroups of bounded linear operators is based on the spectral theory of linear relations (multivalued linear operators), which act as generators of operator semigroups.
Keywords:
semigroup, bounded linear operator, linear relation (multivalued linear operator), spectral theory, primitive generator of a semigroup, resolvent set of a linear relation, ergodic theorem, holomorphic function.
@article{MZM_2008_84_2_a1,
author = {A. G. Baskakov},
title = {Linear {Relations} as {Generators} of {Semigroups} of {Operators}},
journal = {Matemati\v{c}eskie zametki},
pages = {175--192},
publisher = {mathdoc},
volume = {84},
number = {2},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2008_84_2_a1/}
}
A. G. Baskakov. Linear Relations as Generators of Semigroups of Operators. Matematičeskie zametki, Tome 84 (2008) no. 2, pp. 175-192. http://geodesic.mathdoc.fr/item/MZM_2008_84_2_a1/