M‐constants in Orlicz–Lorentz function spaces

Yunan Cui, Paweł Foralewski and Henryk Hudzik

Mathematische Nachrichten, 2019, vol. 292, issue 12, 2556-2573

Abstract: In this paper some lower and upper estimates of M‐constants for Orlicz–Lorentz function spaces for both, the Luxemburg and the Amemiya norms, are given. Since degenerated Orlicz functions φ and degenerated weighted sequences ω are also admitted, this investigations concern the most possible wide class of Orlicz–Lorentz function spaces. M‐constants were defined in 1969 by E. A. Lifshits, and used by many authors in the study of lattice structures on Banach spaces, as well as in the fixed point theory.

Date: 2019
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https://doi.org/10.1002/mana.201700337

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