descriptionPublicationkeyboard_double_arrow_right Article 18 Jul 2016 English Publisher:National Inquiry Services Center (NISC)Journal:Quaestiones Mathematicae, volume 39, pages 643-664 (issn: 1607-3606, eissn: 1727-933X,

Authors: Ronalda Benjamin; Sonja Mouton;

doi: 10.2989/16073606.2016.1167134 , 10.1007/s11117-019-00683-3

Fredholm theory in ordered Banach algebras

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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 Weyland upper Browder theory.

Related Organizations

Stellenbosch University
South Africa

Keywords

spectral radius, Fredholm elements, spectrum, Weyl elements, ordered Banach algebra, Fredholm, Weyl and Browder theory, ordered Banach algebra, upper Weyl and upper Browder theory., General theory of topological algebras, Spectrum, resolvent, (Semi-) Fredholm operators; index theories, Browder elements

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