On Ill‐Determined Equations in Right Invertible Operator of Order one in Non‐Commutative Case
Nguyen Van Mau · Mathematische Nachrichten · 1990
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).