Spectrum of a family of operators

2012/07/10 by Simona Macovei, Macovei, Simona
Mathematics · #47-01 #47A10 #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #math.FA #msc:47-01 #msc:47A10

paper · pdf · doi:10.48550/arxiv.1207.2327

23 pages

arxiv created 2012/07/10 · openalex publication_date 2012/07/10 · arxiv updated 2012/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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