Enclosure results for second-order relative spectra by elementary means
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- by Peter Otte PDF
- Proc. Amer. Math. Soc. 132 (2004), 827-830 Request permission
Abstract:
Motivated by the general approach due to Shargorodsky we derive enclosure results for the second-order relative spectrum of bounded selfadjoint operators by studying quadratic operator pencils. The quality of the results is discussed by means of a simple example.References
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Additional Information
- Peter Otte
- Affiliation: Mathematisches Institut, Universität München, Theresienstraße 39, 80333 München, Germany
- Address at time of publication: Fakultät für Mathematik, Ruhr-Universität Bochum, Universitätsstrasse 150, 44780 Bochum, Germany
- Email: otte@mathematik.uni-muenchen.de, Peter.Otte@ruhr-uni-bochum.de
- Received by editor(s): October 17, 2002
- Received by editor(s) in revised form: November 1, 2002
- Published electronically: July 28, 2003
- Additional Notes: I would like to thank H. Kalf for encouraging me to prepare this note
- Communicated by: Joseph A. Ball
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 827-830
- MSC (2000): Primary 47A10, 47B15
- DOI: https://doi.org/10.1090/S0002-9939-03-07125-9
- MathSciNet review: 2019961