Certain properties of the essential spectra in Banach spaces
Date
2017
Authors
Muhati, L. N.
Bonyo, J. O.
Agure, J. O.
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
Let X be an arbitrary Banach space, and L (X) be the set of all bounded linear operators on X. We apply closed range theorem to determine some duality properties of the essential spectrum on L(X). Specifically, we introduce different parts of the essential spectrum and establish their duality relations. Moreover, we look at certain algebraic properties of the essential spectra on Banach spaces. Mathematics Subject Classification (2010). Primary 47A10; Secondary47A05, 47A53.
Description
Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya.
Keywords
Essential spectrum, Fredholm operator, Duality