An axiomatic approach to joint spectra I

On regularities and Fredholm theory

“…Regularities are introduced and studied in [12] and [15] to give an axiomatic theory for spectra in literature which do not fit into the axiomatic theory ofŻelazko [22]. In this note we investigate the relationship between the regularities and the Fredholm theory in a Banach algebra.…”

Taylor Functional Calculus

“…, f m (A). Since the restriction of σ T to A satisfies the projection property, by [23] there is a compact subset K of the maximal ideal space of A such that…”

On the Taylor functional calculus

“…, f m (A). Since the restriction of σ T to A has the projection property, by [23] there is a compact subset K of the maximal ideal space of A such that σ…”