Abelian von Neumann algebras, measure algebras and L8-spaces

被引：2

作者：

Blecher, David P. ^{[1
]}

Goldstein, Stanislaw ^{[2
]}

Labuschagne, Louis E. ^{[3
]}

机构：

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

[2] Univ Lodz, Fac Math & Comp Sci, Lodz, Banacha 22, PL-90238 Lodz, Poland

[3] DSI NRF CoE Math & Stat Sci Pure & Appl Analyt, Sch Math & Stat Sci, NWU, Internal Box 209,PVT BAG X6001, ZA-2520 Potchefstroom, South Africa

来源：

EXPOSITIONES MATHEMATICAE | 2022年 / 40卷 / 03期

关键词：

L-8; space; Von Neumann algebra; Measure algebra; Maharam's theorem; Radon-Nikodym; Radon measures;

D O I：

10.1016/j.exmath.2021.11.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a fresh account of the astonishing interplay between abelian von Neumann algebras, L-infinity-spaces and measure algebras, including an exposition of Maharam's theorem from the von Neumann algebra perspective. (C) 2021 Elsevier GmbH. All rights reserved.

引用

页码：758 / 818

页数：61

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