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Mathematics > Functional Analysis

arXiv:1802.04569 (math)
[Submitted on 13 Feb 2018]

Title:The Cesàro operator on duals of power series spaces of infinite type

Authors:Angela A. Albanese, José Bonet, Werner J. Ricker
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Abstract:A detailed investigation is made of the continuity, spectrum and mean ergodic properties of the Cesàro operator $C$ when acting on the strong duals of power series spaces of infinite type. There is a dramatic difference in the nature of the spectrum of $C$ depending on whether or not the strong dual space (which is always Schwartz) is nuclear.
Subjects: Functional Analysis (math.FA)
MSC classes: Primary 47A10, 47B37, Secondary 46A04, 46A11, 46A13, 46A45, 47A35
Cite as: arXiv:1802.04569 [math.FA]
  (or arXiv:1802.04569v1 [math.FA] for this version)
  https://doi.org/10.48550/arXiv.1802.04569

Submission history

From: Jose Bonet [view email]
[v1] Tue, 13 Feb 2018 11:31:34 UTC (28 KB)
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