Note on extreme points in marcinkiewicz function spaces
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.
Banach Journal of Mathematical Analysis
Kami´nska, A., & Parrish, A. (2010). Note on extreme points in marcinkiewicz function spaces. Banach Journal of Mathematical Analysis, 4 (1), 1-12. https://doi.org/10.15352/bjma/1272374667