Spectral results for operators commuting with translations on Banach spaces of sequences on Z^k and Z^+
arXiv:1106.6318
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.