Composition and Multiplication Operators on Lp,∞(M)

HAN Ya-zhou

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

Chinese Quarterly Journal of Mathematics >

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

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

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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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

Cite this article

HAN Ya-zhou . Composition and Multiplication Operators on L^p,∞(M)[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(4) : 340 -348 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.04.002

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College of Mathematics and Systems Science,Xinjiang University

Abstract

Cite this article