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Cubo (Temuco) 2012
Spectral results for operators commuting with translations on Banach spaces of sequences on Zk and Z+DOI: 10.4067/S0719-06462012000300002 Keywords: multiplier, toeplitz operator, shift operator, space of sequences, spectrum of multiplier, joint spectrum of translations. Abstract: we study the spectrum of multipliers (bounded operators commuting with the shift operator ) on a banach space of sequences on . given a multiplier , we prove that where is the symbol of . we obtain a similar result for the spectrum of an operator commuting with the shift on a banach space of sequences on . we generalize the results for multipliers on banach spaces of sequences on .
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