Lp,∞（M）上的乘法算子和复合算子

韩亚洲

doi:10.13371/j.cnki.chin.q.j.m.2016.04.002

数学季刊 >

2016 , Vol. 31 >Issue 4: 340 - 348

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.04.002

L^p,∞（M）上的乘法算子和复合算子

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College of Mathematics and Systems Science,Xinjiang University

HAN Ya-zhou(1982-), male, native of Shangqiu, Henan, a lecturer of Xinjiang University, Ph.D.,engages in functional analysis.

收稿日期: 2014-05-27

网络出版日期: 2020-10-30

基金资助

Supported by the National Natural Science Foundation of China(11371304,11401507)；

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Composition and Multiplication Operators on L^p,∞(M)

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College of Mathematics and Systems Science,Xinjiang University

HAN Ya-zhou(1982-), male, native of Shangqiu, Henan, a lecturer of Xinjiang University, Ph.D.,engages in functional analysis.

Received date: 2014-05-27

Online published: 2020-10-30

Supported by

Supported by the National Natural Science Foundation of China(11371304,11401507)；

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摘要

We give some properties of the composition and multiplication operators on Lp,∞（M）, where M is a semifinite von Neumann algebra with a normal semifinite faithful trace τ.

关键词： von Neumann algebras; composition operators; multiplication operators; noncommutative weak Lp spaces

本文引用格式

韩亚洲 . L^p,∞（M）上的乘法算子和复合算子[J]. 数学季刊, 2016 , 31(4) : 340 -348 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.04.002

Abstract

We give some properties of the composition and multiplication operators on Lp,∞（M）, where M is a semifinite von Neumann algebra with a normal semifinite faithful trace τ.

Key words： von Neumann algebras; composition operators; multiplication operators; noncommutative weak Lp spaces

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College of Mathematics and Systems Science,Xinjiang University

College of Mathematics and Systems Science,Xinjiang University

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Abstract