✦ LIBER ✦
On Ill-Determined Equations in Right Invertible Operator of Order one in Non-Commutative Case
✍ Scribed by Nguyen Van Mau
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 430 KB
- Volume
- 147
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
In this paper we study a general equation in right invertible operator of order one in the case when either resolving operator I‐AR or I‐RA has a generalized almost inverse only. Moreover, we give the positive answer to the following question: Does the left invertibility (right invertibility, invertibility) of I‐AR imply the left invertibility (right invertibility, invertibility) of the operator I‐RA? (cf. [1], Open Question on p. 140).