## Abstract and Applied Analysis

### Note on the Invariance Properties of Operator Products Involving Generalized Inverses

#### Abstract

We investigate further the invariance properties of the bounded linear operator product ${AC}^{(1)} {B}^{(1)} D$ and its range with respect to the choice of the generalized inverses $X$ and $Y$ of bounded linear operators. Also, we discuss the range inclusion invariance properties of the operator product involving generalized inverses.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 213458, 9 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412273155

Digital Object Identifier
doi:10.1155/2014/213458

Mathematical Reviews number (MathSciNet)
MR3166577

Zentralblatt MATH identifier
07021938

#### Citation

Liu, Xiaoji; Zhang, Miao; Yu, Yaoming. Note on the Invariance Properties of Operator Products Involving Generalized Inverses. Abstr. Appl. Anal. 2014 (2014), Article ID 213458, 9 pages. doi:10.1155/2014/213458. https://projecteuclid.org/euclid.aaa/1412273155

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