Parallelism between Moore-Penrose inverse and Aluthge transform of operators

Applicable Analysis and Discrete Mathematics

article

M. R. Jabbarzadeh¹  H. Emamalipour²  M. Sohrabi Chegeni³ 

[1] University of Tabriz ,(Revised 23.02.2018) Faculty of Mathematical Sciences Tabriz;University of Tabriz Faculty of Mathematical Sciences Tabriz;Lorestan University Department of Mathematics Khorramabad

关键词: conditional expectation;    polar decomposition;    Moore-Penrose inverse;    Aluthge transform;   

DOI  :  10.2298/AADM161026005J

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

In this paper we study some parallelisms between †-Aluthge transform andbinormal operators on a Hilbert space via the Moore-Penrose inverse. Moreover, we give some applications of these results on the Lambert multiplicationoperators acting on L2(Σ).

【 授权许可】

Unknown