Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Spectrum of the products of operators and compact perturbations


Authors: Wei Bang Gong and De Guang Han
Journal: Proc. Amer. Math. Soc. 120 (1994), 755-760
MSC: Primary 47A10; Secondary 47A55
DOI: https://doi.org/10.1090/S0002-9939-1994-1197538-6
MathSciNet review: 1197538
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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. essentially normal) operators.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47A10, 47A55

Retrieve articles in all journals with MSC: 47A10, 47A55


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1197538-6
Keywords: Spectrum, compact perturbation, normal operator, essentially normal operator, BDF theorem
Article copyright: © Copyright 1994 American Mathematical Society

American Mathematical Society