EXTENDING THE FORMULA TO CALCULATE THE SPECTRAL-RADIUS OF AN OPERATOR

Authors
BONALES FG MENDOZA RV
Citation
Fg. Bonales et Rv. Mendoza, EXTENDING THE FORMULA TO CALCULATE THE SPECTRAL-RADIUS OF AN OPERATOR, Proceedings of the American Mathematical Society, 126(1), 1998, pp. 97-103
Citations number
5
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
1
Year of publication
1998
Pages
97 - 103
Database
ISI
SICI code
0002-9939(1998)126:1<97:ETFTCT>2.0.ZU;2-M
Abstract
In a Banach space, Gelfand's formula is used to find the spectral radi us of a continuous linear operator. In this paper, we show another way to find the spectral radius of a bounded linear operator in a complet e 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.