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Spectrum of the Cesàro operator in ℓ p

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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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Authors and Affiliations

  1. Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, Sevilla, 41080, Spain

    Guillermo P. Curbera

  2. Math.–Geogr. Fakultät, Katholische Universität Eichstätt–Ingolstadt, 85072, Eichstätt, Germany

    Werner J. Ricker

Authors
  1. Guillermo P. Curbera
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  2. Werner J. Ricker
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Corresponding author

Correspondence to Guillermo P. Curbera.

Additional information

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

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