The λ-Aluthge Transform of EP Matrices

被引：2

作者：

Pappas, Dimitrios ^{[1
]}

Katsikis, Vasilios N. ^{[2
]}

Stanimirovic, Predrag S. ^{[3
]}

机构：

[1] Athens Univ Econ & Business, Dept Stat, 76 Patission Str, Athens 10434, Greece

[2] Univ Athens, Div Math & Informat, Dept Econ, Athens, Greece

[3] Univ Nis, Fac Sci & Math, Visegradska 33, Nish 18000, Serbia

来源：

FILOMAT | 2018年 / 32卷 / 12期

关键词：

EP matrix; Aluthge transform; Moore-Penrose inverse; OPERATORS; RANGE; PRODUCT; MAPS;

D O I：

10.2298/FIL1812403P

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we present some relationships between an EP matrix T, its Aluthge transform Delta(T) or the lambda-Aluthge transform Delta(lambda)(T) and the Moore-Penrose inverse T-dagger. We prove that the lambda-Aluthge transform of T is also an EP matrix, and the same thing holds for Delta(lambda)(T-dagger)dagger and Delta(lambda)(T-dagger). Also, we explore the product Delta(lambda)(T)T, the connections between Delta(T) and T-dagger as well as the reverse order law for generalized inverses which are associated with Delta(lambda)(T). Finally, it is verified that the ranges of T and Delta(lambda)(T) are equal in the case of EP matrices.

引用

页码：4403 / 4411

页数：9