Some Consequences of Left Invertibility

Scott H. Hochwald

doi:10.2307/2046128

Some Consequences of Left Invertibility

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Resumen

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.

Idioma original	American English
Publicación	Proceedings of the American Mathematical Society
Volumen	100
N.º	1
DOI	https://doi.org/10.2307/2046128
Estado	Published - may 1987

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Algebra

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