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Drazin spectra of Banach space operators and Banach algebra elements
- Source :
- Journal of Mathematical Analysis and Applications. 359:48-55
- Publication Year :
- 2009
- Publisher :
- Elsevier BV, 2009.
-
Abstract
- Given a Banach Algebra $A$ and $a\in A$, several relations among the Drazin spectrum of $a$ and the Drazin spectra of the multiplication operators $L_a$ and $R_a$ will be stated. The Banach space operator case will be also examined. Furthermore, a characterization of the Drazin spectrum will be considered.<br />Comment: 16 pages; original research article
- Subjects :
- Poles of the resolvent map
Discrete mathematics
Mathematics::Functional Analysis
Approximation property
Applied Mathematics
Mathematics::Rings and Algebras
Spectrum (functional analysis)
Banach space
Drazin spectra
Characterization (mathematics)
Functional Analysis (math.FA)
Mathematics - Functional Analysis
Operator (computer programming)
Banach algebra
FOS: Mathematics
Multiplication
Primary 47A10, Secondary 46H05, 47A05
Analysis
Multiplication operators
Mathematics
Resolvent
Subjects
Details
- ISSN :
- 0022247X
- Volume :
- 359
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Analysis and Applications
- Accession number :
- edsair.doi.dedup.....a91323f3079bea9d8410528192a62e61