Journal article
Generalized Browder's and Weyl's theorems for Banach space operators
Journal of mathematical analysis and applications, Vol.336(2), pp.1424-1442
2007
DOI: 10.1016/j.jmaa.2007.03.060
Abstract
We find necessary and sufficient conditions for a Banach space operator T to satisfy the generalized Browder's theorem. We also prove that the spectral mapping theorem holds for the Drazin spectrum and for analytic functions on an open neighborhood of σ ( T ) . As applications, we show that if T is algebraically M-hyponormal, or if T is algebraically paranormal, then the generalized Weyl's theorem holds for f ( T ) , where f ∈ H ( ( T ) ) , the space of functions analytic on an open neighborhood of σ ( T ) . We also show that if T is reduced by each of its eigenspaces, then the generalized Browder's theorem holds for f ( T ) , for each f ∈ H ( σ ( T ) ) .
Details
- Title: Subtitle
- Generalized Browder's and Weyl's theorems for Banach space operators
- Creators
- Raúl E Curto - Department of Mathematics, University of Iowa, Iowa City, IA 52242-1419, USAYoung Min Han - Department of Mathematics, Kyunghee University, Seoul 130-701, South Korea
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical analysis and applications, Vol.336(2), pp.1424-1442
- DOI
- 10.1016/j.jmaa.2007.03.060
- ISSN
- 0022-247X
- eISSN
- 1096-0813
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 2007
- Academic Unit
- Mathematics
- Record Identifier
- 9983985820302771
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