We investigate the spectrum perturbations and spectrum localization of a class of operators on a tensor product of separable Hilbert spaces. In particular, estimates for the spectral radius and norm of the resolvent are derived. Applications to partial integral and integrodifferential operators are also discussed.
Publié le : 2003-05-15
Classification:
47A55,
35P05,
45P05,
47A10,
47N20
@article{1250281732,
author = {Gil', M. I.},
title = {Spectrum perturbations of operators on tensor products of Hilbert spaces},
journal = {J. Math. Kyoto Univ.},
volume = {43},
number = {4},
year = {2003},
pages = { 719-735},
language = {en},
url = {http://dml.mathdoc.fr/item/1250281732}
}
Gil’, M. I. Spectrum perturbations of operators on tensor products of Hilbert spaces. J. Math. Kyoto Univ., Tome 43 (2003) no. 4, pp. 719-735. http://gdmltest.u-ga.fr/item/1250281732/