The index for Fredholm elements in a Banach algebra via a trace II View Full Text


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Article Info

DATE

2016-03

AUTHORS

Jacobus J. Grobler, Heinrich Raubenheimer, Andre Swartz

ABSTRACT

We show that the index defined via a trace for Fredholm elements in a Banach algebra has the property that an index zero Fredholm element can be decomposed as the sum of an invertible element and an element in the socle. We identify the set of index zero Fredholm elements as an upper semiregularity with the Jacobson property. The Weyl spectrum is then characterized in terms of the index. More... »

PAGES

205-211

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10587-016-0250-5

DOI

http://dx.doi.org/10.1007/s10587-016-0250-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1043736440


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