M-constants in Orlicz-Lorentz sequence spaces with applications to fixed point theory


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	M-constants in Orlicz-Lorentz sequence spaces with applications to fixed point theory


	Fixed Point Theory, Volume 19, No. 1, 2018, 141-166, February 1st, 2018 DOI: 10.24193/fpt-ro.2018.1.11 Authors: Yunan Cui, Paweł Foralewski and Henryk Hudzik Abstract: In this paper some estimates of M-constants in Orlicz-Lorentz sequence 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 sequence spaces. M-constants were defined in 1969 by E.A. Lifshits, and used in the study of lattice structures on Banach spaces, as well as in the fixed point theory, by a number of authors. In the last section of the paper an application of our results to the fixed point property is presented. Key Words and Phrases: M-constants, L-constants, lattice structures on Banach spaces, Riesz angle, fixed point property, symmetric spaces, Orlicz-Lorentz spaces, Orlicz functions, Luxemburg norm, Amemiya norm. 2010 Mathematics Subject Classification: 46B20, 46B45, 46A45, 46B42, 46A80, 47H10. Published on-line: February 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents