Pith. sign in

REVIEW 1 cited by

Mean ergodic properties of the continuous Ces\`aro operators

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1310.5083 v1 pith:TQQGTBQT submitted 2013-10-18 math.FA

Angela A. Albanese , José Bonet , Werner J. Ricker This is my paper · ORCID
classification math.FA
keywords mathsfcontinuousmeanspacesactingergodicpropertiesspectrum
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

Various properties of the (continuous) Ces\`aro operator $\mathsf{C}$, acting on Banach and Fr\'echet spaces of continuous functions and $L^p$-spaces, are investigated. For instance, the spectrum and point spectrum of $\mathsf{C}$ are completely determined and a study of certain dynamics of $\mathsf{C}$ is undertaken (eg. hyper- and supercyclicity, chaotic behaviour). In addition, the mean (and uniform mean) ergodic nature of $\mathsf{C}$ acting in the various spaces is identified.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Functions of continuous Ces\'aro operators

    math.FA 2024-11 conditional novelty 6.0 of 10

    Holomorphic functions of the continuous Cesàro operator in L2 are Hausdorff operators with a Mellin-transform certificate, and its fractional powers are Hölder means.

Pith tools