Some Consequences of Left InvertibilityProceedings of the American Mathematical Society (1987)
Let A be a noncommutative Banach algebra with identity e. Let L be a multiplicative semigroup of left-invertible elements of A which properly contains the invertible elements of A. Then there does not exist a function g: L → A such that g(ab) = g(b)g(a) and g(a)a = e for all elements a and b of L. This paper contains an elementary proof of this result, and thereby answers a question posed by G. R. Allan.
Publication DateMay, 1987
Citation InformationScott H. Hochwald. "Some Consequences of Left Invertibility" Proceedings of the American Mathematical Society Vol. 100 Iss. 1 (1987) p. 109 - 110 ISSN: 0002-9939
Available at: http://works.bepress.com/scott_hochwald/2/