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arXiv · 2002.03397

On one class of Orlicz functions

Sergey V. Astashkin
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Abstract

Answering to a recent question raised by Le\'{s}nik, Maligranda, and Tomaszewski, we prove that there is an Orlicz function $\Phi$ with the upper Matuszewska-Orlicz index equal to $1$ such that the Orlicz space $L_\Phi$ does not satisfy Dunford-Pettis criterion of weak compactness.

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Sergey V. Astashkin. 2020-02-09. On one class of Orlicz functions. https://arxiv.org/abs/2002.03397

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