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arXiv:1207.2327 [math.FA]AbstractReferencesReviewsResources

Spectrum of a family of operators

Simona Macovei

Published 2012-07-10Version 1

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.

Comments: 23 pages
Categories: math.FA
Subjects: 47-01, 47A10
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