Weyl type theorems and hypercyclic operators II

Author:
Xiaohong Cao

Journal:
Proc. Amer. Math. Soc. **135** (2007), 1701-1708

MSC (2000):
Primary 47A15, 47A53, 47A55

Published electronically:
November 13, 2006

MathSciNet review:
2286079

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this note, the relation between hypercyclic operator matrices (or supercyclic operator matrices) and the operator matrices which satisfy Weyl type theorems is discussed. Also, using a variant of the essential approximate point spectrum, we give the necessary and sufficient conditions for for which a-Browder's theorem or a-Weyl's theorem holds.

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Additional Information

**Xiaohong Cao**

Affiliation:
College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, People’s Republic of China

Email:
xiaohongcao@snnu.edu.cn

DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08665-5

Keywords:
a-Browder's theorem,
a-Weyl's theorem,
Weyl's theorem,
Browder's theorem,
hypercyclic operator

Received by editor(s):
October 24, 2005

Received by editor(s) in revised form:
December 21, 2005, and January 24, 2006

Published electronically:
November 13, 2006

Communicated by:
N. Tomczak-Jaegermann

Article copyright:
© Copyright 2006
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.