Stability of the local spectrum
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- by Teresa Bermúdez, Manuel González and Antonio Martinón PDF
- Proc. Amer. Math. Soc. 125 (1997), 417-425 Request permission
Abstract:
We give some conditions implying the equality of local spectra \begin{equation*} \sigma (x, T)=\sigma (f[T]x, T), \end{equation*} where $T:X \to X$ is a (bounded linear) operator on a complex Banach space $X,$ and $f[T]x$ is defined by means of a local functional calculus. Moreover, we give conditions implying the stability of the local spectrum for the holomorphic and the meromorphic functional calculi.References
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Additional Information
- Teresa Bermúdez
- Affiliation: Departamento de Análisis Matemático, Universidad de La Laguna, La Laguna, Spain
- Email: tbermudez@ull.es
- Manuel González
- Affiliation: Departamento de Matemáticas, Universidad de Cantabria, Santander, Spain
- MR Author ID: 219505
- Antonio Martinón
- Affiliation: Departamento de Análisis Matemático, Universidad de La Laguna, La Laguna, Spain
- Received by editor(s): May 18, 1995
- Additional Notes: Supported in part by DGICYT Grant PB 91-0307 (Spain)
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 417-425
- MSC (1991): Primary 47A11, 47A60
- DOI: https://doi.org/10.1090/S0002-9939-97-03477-1
- MathSciNet review: 1343681