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Spectrum of a family of operators (1207.2327v1)
Published 10 Jul 2012 in math.FA
Abstract: Having as start point the classic definitions of resolvent set and spectrum of a linear bounded operator on a Banach space, we introduce the resolvent set and spectrum of a family of linear bounded operators on a Banach space. In addition, we present some results which adapt to asymptotic case the classic results.
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