SPECTRUM OF THE PRODUCTS OF OPERATORS AND COMPACT PERTURBATIONS

Authors
GONG WB HAN DG
Citation
Wb. Gong et Dg. Han, SPECTRUM OF THE PRODUCTS OF OPERATORS AND COMPACT PERTURBATIONS, Proceedings of the American Mathematical Society, 120(3), 1994, pp. 755-760
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
120
Issue
3
Year of publication
1994
Pages
755 - 760
Database
ISI
SICI code
0002-9939(1994)120:3<755:SOTPOO>2.0.ZU;2-Q
Abstract
In this paper we will give a complete characterization of the operator B which satisfies the spectral condition sigma(AB) = sigma(BA) (resp. sigma(e)(AB) = sigma(e)(BA)) for every A in L(H) and also a spectral characterizations of the product of finitely many normal (resp. essent ially normal) operators.