|
Polaroid operators and Weyl's theorem
Author(s):
Bhaggy
Duggal;
Robin
Harte;
In
Ho
Jeon
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1345-1349.
MSC (2000):
Primary 47A10
Posted:
December 23, 2003
MathSciNet review:
2053338
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
``Polaroid elements" represent an attempt to abstract part of the condition, ``Weyl's theorem holds" for operators.
References:
-
- 1.
- B. A. Barnes, Riesz points and Weyl's theorem, Integral Equations Operator Theory 34 (1999), 187-196. MR 2000d:47006
- 2.
- S. V. Djordjevic, I. H. Jeon and E. Ko, Weyl's theorem through local spectral theory, Glasgow Math. Jour. 44 (2002) 323-327. MR 2003d:47004
- 3.
- L. A. Fialkow, A note on quasisimilarity of operators, Acta Sci. Math. (Szeged) 30 (1977) 67-85. MR 56:3661
- 4.
- J. K. Finch, The single valued extension property on a Banach space, Pacific Jour. Math. 58 (1975) 61-69. MR 51:11181
- 5.
- R. E. Harte, Fredholm, Weyl and Browder theory, Proc. Royal Irish Acad. 85A (1985) 151-176. MR 87h:47029
- 6.
- R. E. Harte, Invertibility and singularity for bounded linear operators, Marcel Dekker, New York, 1988. MR 89d:47001
- 7.
- R. E. Harte, On quasinilpotents in rings, PanAmerican Math. Jour. 1 (1991) 10-16. MR 92a:16024
- 8.
- R. E. Harte and W. Y. Lee, Another note on Weyl's theorem, Trans. Amer. Math. Soc. 349 (1997) 2115-2124. MR 98j:47024
- 9.
- R. E. Harte, W. Y. Lee and L. L. Littlejohn, On generalized Riesz points, Jour. Operator Theory 47 (2002) 187-196. MR 2003a:47008
- 10.
- I. H. Jeon, Weyl's theorem for operators with a growth condition and Dunford's property (C), Indian Jour. Pure Appl. Math. 33 (2002) 403-407. MR 2003b:47008
- 11.
- J. J. Koliha, A generalized Drazin inverse, Glasgow Math. Jour. 38 (1996) 367-381. MR 98b:46065
- 12.
- H. Weyl, über beschrankte quadratische Formen deren differenz vollstetig ist, Rend. Circ. Mat. Palermo 27 (1909) 373-392.
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
47A10
Retrieve articles in all Journals with
MSC (2000):
47A10
Additional Information:
Bhaggy
Duggal
Affiliation:
Department of Mathematics, College of Science, United Arab Emirates University, PO Box 17551, Al Ain, United Arab Emirates
Email:
bpduggal@uaeu.ac.ae
Robin
Harte
Affiliation:
School of Mathematics, Trinity College, Dublin, Ireland
Email:
rharte@maths.tcd.ie
In
Ho
Jeon
Affiliation:
Department of Mathematics, Ewha Women's University, Seoul 120-750, Korea
Email:
jihmath@ewha.ac.kr
DOI:
10.1090/S0002-9939-03-07381-7
PII:
S 0002-9939(03)07381-7
Keywords:
Polar; quasi polar; Weyl's theorem; Browder's theorem.
Received by editor(s):
August 12, 2002
Posted:
December 23, 2003
Communicated by:
David R. Larson
Copyright of article:
Copyright
2003,
American Mathematical Society
|
