Perturbation of regular operators and the order essential spectrum
Date
2010-05-10T17:49:08Z
Authors
Arendt, W.
Sourour, A. R.
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Abstract
For regular operators on a Banach lattice, we introduce and investigate two notions of order essential spectrum analogous to the essential spectrum and the Weyl spectrum for operators on Banach spaces. We also discuss related questions on the behaviour of the order spectrum under perturbation by r-compact operators.
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technical reports (mathematics and statistics)