Article ID Journal Published Year Pages File Type
843112 Nonlinear Analysis: Theory, Methods & Applications 2009 17 Pages PDF
Abstract

Some remarks about the moduli of monotonicity are presented. Formulas for the characteristics of monotonicity in Banach lattices are given. Lower and upper estimates of the (lower) modulus of monotonicity of Orlicz spaces equipped with the Luxemburg norm using Simonenko and Lindberg indices as well as some other two parameters for the generated Orlicz function are given. The characteristic of monotonicity ε0,m(LΦ)ε0,m(LΦ) of Orlicz spaces endowed with the Luxemburg norm is estimated from below and another characteristic of monotonicity ε¯0,m(LΦ) of the spaces is computed.

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