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

dc.creatorPetkova, Violeta
dc.date2012-10-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1329
dc.identifier10.4067/S0719-06462012000300002
dc.descriptionWe study the spectrum of multipliers (bounded operators commuting with the shift operator S) on a Banach space E of sequences on Z. Given a multiplier M, we prove that Mf(σ(S)) ⊂ σ(M) where Mf is the symbol of M. We obtain a similar result for the spectrum of an operator commuting with the shift on a Banach space of sequences on Z+. We generalize the results for multipliers on Banach spaces of sequences on Zk.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1329/1184
dc.sourceCUBO, A Mathematical Journal; Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal; 41–57en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 14 Núm. 3 (2012): CUBO, A Mathematical Journal; 41–57es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectMultiplieren-US
dc.subjectToeplitz operatoren-US
dc.subjectshift operatoren-US
dc.subjectspace of sequencesen-US
dc.subjectspectrum of multiplieren-US
dc.subjectjoint spectrum of translationsen-US
dc.titleSpectral results for operators commuting with translations on Banach spaces of sequences on Zᴷ and Z⁺en-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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