Spectral Radii of Bounded Operators on Topological Vector Spaces

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dc.creatorTroitsky, Vladimir G.
dc.date2000-04-08
dc.date.accessioned2026-07-07T04:34:40Z
dc.date.available2026-07-07T04:34:40Z
dc.descriptionIn this paper we develop a version of spectral theory for bounded linear operators on topological vector spaces. We show that the Gelfand formula for spectral radius and Neumann series can still be naturally interpreted for operators on topological vector spaces. Of course, the resulting theory has many similarities to the conventional spectral theory of bounded operators on Banach spaces, though there are several important differences. The main difference is that an operator on a topological vector space has several spectra and several spectral radii, which fit a well-organized pattern.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/math/0004049
dc.identifierhttp://arxiv.org/abs/math/0004049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58992
dc.subjectFunctional Analysis
dc.subjectSpectral Theory
dc.subject46A03; 46H35; 47L10; 35P05
dc.titleSpectral Radii of Bounded Operators on Topological Vector Spaces
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