Note on extreme points in marcinkiewicz function spaces

Abstract

We show that the unit ball of the subspace [Image] of ordered continuous elements of MW has no extreme points, where MW is the Marcinkiewicz function space generated by a decreasing weight function w over the interval (0,∞) and [Math Equation]. We also present here a proof of the fact that a function f in the unit ball of MW is an extreme point if and only if f* = w.

Publication Title

Banach Journal of Mathematical Analysis

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