Fredholm theory in ordered Banach algebras

  • Ronalda Benjamin
  • Sonja Mouton
Keywords: Fredholm, Weyl and Browder theory, ordered Banach algebra, upper Weyl and upper Browder theory.

Abstract

This paper illustrates some initial steps taken in the effort of unifying the theory of positivity in ordered Banach algebas (OBAs) with the general Fred-holm theory in Banach algebras. We introduce here upper Weyl and upper Browder elements in an OBA relative to an arbitrary Banach algebra homomorphism and investigate the spectra corresponding to the sets of upper Weyl and upper Browder elements, which we shall refer to as the upper Weyl and upper Browder spectra, respectively.

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

Key words: Fredholm, Weyl and Browder theory, ordered Banach algebra, upper Weyl
and upper Browder theory.

Published
2016-09-09
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606