A note on meromorphic operators
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- by Christoph Schmoeger PDF
- Proc. Amer. Math. Soc. 133 (2005), 511-518 Request permission
Abstract:
Let $X$ be a complex Banach space and $T$ a bounded linear operator on $X$. $T$ is called meromorphic if the spectrum $\sigma (T)$ of $T$ is a countable set, with $0$ the only possible point of accumulation, such that all the nonzero points of $\sigma (T)$ are poles of $(\lambda I-T)^{-1}$. By means of the analytical core $K(T)$ we give a spectral theory of meromorphic operators. Our results are a generalization of some results obtained by Gong and Wang (2003).References
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Additional Information
- Christoph Schmoeger
- Affiliation: Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany
- Email: christoph.schmoeger@math.uni-karlsruhe.de
- Received by editor(s): August 15, 2003
- Received by editor(s) in revised form: October 20, 2003
- Published electronically: August 4, 2004
- Communicated by: Joseph A. Ball
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 511-518
- MSC (2000): Primary 47A10, 47A11
- DOI: https://doi.org/10.1090/S0002-9939-04-07619-1
- MathSciNet review: 2093075