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M‐constants in Orlicz–Lorentz function spaces
Authors:Yunan Cui  Pawe&#x; Foralewski  Henryk Hudzik
Institution:Yunan Cui,Pawe? Foralewski,Henryk Hudzik
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.
Keywords:Amemiya norm  fixed point property  L‐constants  lattice structures on Banach spaces  Luxemburg norm  M‐constants  Orlicz functions  Orlicz–  Lorentz spaces  Riesz angle  symmetric spaces  46A45  46A80  46B20  46B42  46B45
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