English

A short proof of some recent results related to Ces{\`a}ro function spaces

Functional Analysis 2012-12-04 v1

Abstract

We give a short proof of the recent results that, for every 1p<,1\leq p< \infty, the Ces{\`a}ro function space Cesp(I)Ces_p(I) is not a dual space, has the weak Banach-Saks property and does not have the Radon-Nikodym property.

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Cite

@article{arxiv.1212.0346,
  title  = {A short proof of some recent results related to Ces{\`a}ro function spaces},
  author = {Sergey V. Astashkin and Lech Maligranda},
  journal= {arXiv preprint arXiv:1212.0346},
  year   = {2012}
}

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4 pages