Local Spectral Properties of a Composition Operator on LP Spaces
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Date
2015-12
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Informatics Journal
Abstract
In this paper, we discuss the decomposability and single valued extension property of composition operators Cφ on Lp(X)(1 ≤ p < ∞) spaces. We give a sufficient condition for non-decomposability of Cφ in terms of Radon-Nikodym derivative. Further, we prove that if φ is conservative or it is invertible with non-singular inverse, then Cφ has single valued extension property.
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Keywords
Mathematics, Composition Operator, Conservative, Decomposability, Decomposition Property (δ, ), Single Valued Extension Property (SVEP)