Extending the formula to calculate the spectral radius of an operator
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- by Fernando Garibay Bonales and Rigoberto Vera Mendoza PDF
- Proc. Amer. Math. Soc. 126 (1998), 97-103 Request permission
Abstract:
In a Banach space, Gelfand’s formula is used to find the spectral radius of a continuous linear operator. In this paper, we show another way to find the spectral radius of a bounded linear operator in a complete topological linear space. We also show that Gelfand’s formula holds in a more general setting if we generalize the definition of the norm for a bounded linear operator.References
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Additional Information
- Fernando Garibay Bonales
- Affiliation: Escuela De Ciencias Físico-Matemáticas Universidad Michoacana de San Nicolás de Hidalgo Edificio B, Planta Baja, Ciudad Universitaria Morelia, Michoacán, CP 58060, México
- Email: fgaribay@zeus.ccu.umich.mx
- Rigoberto Vera Mendoza
- Affiliation: Escuela De Ciencias Físico-Matemáticas Universidad Michoacana de San Nicolás de Hidalgo Edificio B, Planta Baja, Ciudad Universitaria Morelia, Michoacán, CP 58060, México
- Email: rvera@zeus.ccu.umich.mx
- Received by editor(s): February 27, 1996
- Additional Notes: Research supported by the Coordinación de Investigación Científica de la UMSNH
- Communicated by: Dale Alspach
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 97-103
- MSC (1991): Primary 47A10; Secondary 46A03
- DOI: https://doi.org/10.1090/S0002-9939-98-04430-X
- MathSciNet review: 1459110