A formula for the inner spectral radius

Seyed Mahmoud Manjegani · International Journal of Mathematics and Mathematical Sciences · 2004

This note presents an asymptotic formula for the minimum of the moduli of the elements in the spectrum of a bounded linear operator acting on Banach space X. This minimum moduli is called the inner spectral radius, and the formula established herein is an analogue of Gelfand′s spectral radius formula.

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