%0 Journal Article
%T Spectral results for operators commuting with translations on Banach spaces of sequences on Zk and Z+
%A Petkova
%A Violeta
%J Cubo (Temuco)
%D 2012
%I Scientific Electronic Library Online
%R 10.4067/S0719-06462012000300002
%X 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 .
%K multiplier
%K toeplitz operator
%K shift operator
%K space of sequences
%K spectrum of multiplier
%K joint spectrum of translations.
%U http://www.scielo.cl/scielo.php?script=sci_abstract&pid=S0719-06462012000300002&lng=en&nrm=iso&tlng=en