Note on the invariance properties of operator products involving generalized inverses. (English) Zbl 1472.47001

Liu, Xiaoji; Zhang, Miao; Yu, Yaoming

Abstr. Appl. Anal. 2014, Article ID 213458, 9 p. (2014).

Summary: We investigate further the invariance properties of the bounded linear operator product \(A C^{\left(1\right)} B^{\left(1\right)} D\) 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.

MSC:

47A05

General (adjoints, conjugates, products, inverses, domains, ranges, etc.)

Keywords:

invariance properties; operator product; generalised inverse; range inclusion invariance

References:

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