Skip to content Skip to sidebar Skip to footer

Widget HTML #1

(DOWNLOAD) "Note on Extreme Points in Marcinkiewicz Function Spaces (Report)" by Anna Kaminska & Anca M. Parrish " Book PDF Kindle ePub Free

Note on Extreme Points in Marcinkiewicz Function Spaces (Report)

📘 Read Now     📥 Download


eBook details

  • Title: Note on Extreme Points in Marcinkiewicz Function Spaces (Report)
  • Author : Anna Kaminska & Anca M. Parrish
  • Release Date : January 01, 2010
  • Genre: Mathematics,Books,Science & Nature,
  • Pages : * pages
  • Size : 84 KB

Description

1. INTRODUCTION AND PRELIMINARIES In [9, 10], Ryff considered extreme points of the convex set [OMEGA](w) of functions on [0,1] that is an orbit of a given function w. An orbit of a decreasing weight function w is in fact a unit ball of the Marcinkiewicz space [M.sub.W] corresponding to the weight w. Thus the Ryff's description can be applied directly to the characterization of extreme points of the unit ball of the Marcinkiewicz function space [M.sub.W] on the interval [0,1]. Further in [3], the analogous description has been given in the spaces of functions on the interval (0, [infinity]). Here we consider the Marcinkiewicz spaces [M.sub.W] over (0, [infinity]). We first show that the unit ball in the subspace [M.sup.0.sub.W] of all ordered continuous elements of [M.sub.W] has no extreme points. Moreover we provide a detailed proof, different than that given in [3, 9, 10], of the fact that f is an extreme point of the unit ball in [M.sub.W] if and only if [f.sup.*] = w.


Books Free Download "Note on Extreme Points in Marcinkiewicz Function Spaces (Report)" PDF ePub Kindle