2012/06/27 by Bolis Basit, Basit, Bolis, A. J. Pryde +2
Computer Science · Engineering · Mathematics · #43A60 (Secondary) #47A10 (Primary) 40D05 #47D03 #Advanced Banach Space Theory #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations #math.FA #msc:40D05 #msc:43A60 #msc:47A10 #msc:47D03
paper · pdf · doi:10.48550/arxiv.1206.6553
20 pages
arxiv created 2012/06/28 · openalex publication_date 2012/06/28 · arxiv updated 2012/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study various types of spectra of functions ϕ:\jj→ X, where \jj∈\\r+,\r\ and X is a complex Banach space. We show that uniform spectrum defined in [15] coincides with Carleman spectrum for ϕ∈ L∞(\r,X). This result holds true also for Laplace (half-line) spectrum for ϕ∈ L∞(\r+,X). We also indicate a class of bounded measurable functions for which Laplace spectrum and Carleman spectrum are equal