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A note on the generalized Bott-Duffin inverses of linear operators. (Chinese. English summary) Zbl 1243.47001

Summary: In this note, two theorems involving generalized Bott-Duffin inverses of bounded linear operators on a Hilbert space are proved, which are generalizations of that obtained in a finite-dimensional space by B. Deng and G.-L. Chen [Appl. Math. Lett. 20, No. 7, 746–750 (2007; Zbl 1137.15004)]. The idea and the method used in this note are different from those used by Deng and Chen.

MSC:

47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)

Citations:

Zbl 1137.15004
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