A Formula to Calculate the Spectral Radius of a Compact Linear Operator Fernando
نویسنده
چکیده
,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 ofMinkowski functional.
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تاریخ انتشار 2004