Left-right consistency in rings III

Abstract

A bounded linear operator T is said to be "left-right consistent" if the spectra of all the products ST and TS  coincide. In this note we relate the associated "consistency spectrum" to Fredholm theory, and to the "boundary".

Keywords: Banach algebra, Fredholm theory, spectral theory, left-right consistency

Quaestiones Mathematicae 34(2011), 335-339