Spectral results for operators commuting with translations on Banach spaces of sequences on Z^k and Z⁺

2011/06/30 by Violeta Petkova, Petkova, Violeta
Mathematics · #47B37 #FOS: Mathematics #Spectral Theory (math.SP) #math.SP #msc:47B37

paper · pdf · doi:10.48550/arxiv.1106.6318

arxiv created 2012/01/20 · arxiv updated 2012/01/23

Abstract

We study the spectrum of multipliers (bounded operators commuting with the shift operator S) on Banach spaces of sequences on Z and the spectrum of operators commuting with the shift on Banach spaces of sequences on Z⁺.We generalize the results for multipliers on Banach spaces of sequences on Z^k.

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