Spectral mapping theorems for the upper Weyl and upper Browder spectra

Abstract

We discuss the spectral mapping properties of the upper Weyl and upper Browder spectra of an arbitrary ordered Banach algebra element.

Mathematics Subject Classication (2010): 46H05, 47A10, 47B65.

Key words: Fredholm theory, upper Weyl spectrum, upper Browder spectrum, ordered
Banach algebra, central operator.