A Gelfand-Beurling formula for heights on endomorphism rings

A Gelfand-Beurling formula for heights on endomorphism rings, by Valerio Talamanca

In this paper we prove a limit formula for heights on the endomorphism ring of a vector space over a number field. This limit formula can be considered as the analogue for both the Gelfand-Beurling formula for the spectral radius on a Banach Algebra and Tate's averaging procedure for constructing canonical heights on Abelian Varieties.

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Valerio Talamanca <valerio@matrm3.mat.uniroma3.it>