Abstract
We present a novel proof of the fact that the spectrum of the Cesàro operator acting in ℓ p, for 1 < p < ∞, consists of the closed disc centered at q/2 and with radius q/2, where q is the conjugate index of p.
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Partially supported by MTM2012-36732-C03-03 (Ministerio de Economía y Competitividad), FQM-262, FQM-4643, FQM-7276 (Junta de Andalucía) and Feder Funds (European Union).
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Curbera, G.P., Ricker, W.J. Spectrum of the Cesàro operator in ℓ p . Arch. Math. 100, 267–271 (2013). https://doi.org/10.1007/s00013-013-0498-z
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DOI: https://doi.org/10.1007/s00013-013-0498-z