A formula to calculate the spectral radius of a compact linear operator

Fernando Garibay Bonales and Rigoberto Vera Mendoza

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-4

Abstract:

There is a formula (Gelfand's formula) to find the spectral radius of a linear operator defined on a Banach space. That formula does not apply even in normed spaces which are not complete. In this paper we show a formula to find the spectral radius of any linear and compact operator T defined on a complete topological vector space, locally convex. We also show an easy way to find a non-trivial T -invariant closed subspace in terms of Minkowski functional.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:747916

DOI: 10.1155/S0161171297000793

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