M‐constants in Orlicz–Lorentz function spaces
Copyright policy )M‐constants in Orlicz–Lorentz function spaces
AbstractIn 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.
- Wyższa Szkoła Technologii Informatycznych w Warszawie Poland
- Adam Mickiewicz University in Poznań Poland
- Harbin University of Science and Technology China (People's Republic of)
Banach lattices, Orlicz functions, Modular spaces, Riesz angle, symmetric spaces, \(L\)-constants, Luxemburg norm, lattice structures on Banach spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Geometry and structure of normed linear spaces, \(M\)-constants, Amemiya norm, Banach sequence spaces, fixed point property, Orlicz-Lorentz spaces
Banach lattices, Orlicz functions, Modular spaces, Riesz angle, symmetric spaces, \(L\)-constants, Luxemburg norm, lattice structures on Banach spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Geometry and structure of normed linear spaces, \(M\)-constants, Amemiya norm, Banach sequence spaces, fixed point property, Orlicz-Lorentz spaces
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