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Weyl type theorems and hypercyclic operators II
Author(s):
Xiaohong
Cao
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1701-1708.
MSC (2000):
Primary 47A15, 47A53, 47A55
Posted:
November 13, 2006
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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.
References:
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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:
10.1090/S0002-9939-06-08665-5
PII:
S 0002-9939(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
Posted:
November 13, 2006
Communicated by:
N. Tomczak-Jaegermann
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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