Moduli and Characteristics of Monotonicity in Some Banach Lattices

0357498 - MÚ 2011 RIV US eng J - Journal Article
Foralewski, P. - Hudzik, H. - Kaczmarek, R. - Krbec, Miroslav
Moduli and Characteristics of Monotonicity in Some Banach Lattices.
Fixed Point Theory and Applications. -, - (2010), s. 852346. ISSN 1687-1812
R&D Projects: GA AV ČR IAA100190804; GA MŠMT LC06052
Institutional research plan: CEZ:AV0Z10190503
Keywords : Banach lattice * characteristics of monotonicity * Orlicz function space * Orlicz sequence space
Subject RIV: BA - General Mathematics
Impact factor: 1.936, year: 2010
http://www.fixedpointtheoryandapplications.com/content/2010/1/852346

Characteristic of monotonicity of any Banach lattice X is expressed in terms of the left limit of the modulus of monotonicity of X at the point 1. The characteristic of monotonicity of Orlicz function spaces and Orlicz sequence spaces equipped with the Luxemburg norm are calculated. Some other auxiliary and complemented results are also presented.
Permanent Link: http://hdl.handle.net/11104/0195762