DSpace logo

Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/11483
Title: Local Spectral Properties of a Composition Operator on LP Spaces
Authors: Trivedi, Shailesh
Keywords: Mathematics
Composition Operator
Conservative
Decomposability
Decomposition Property (δ, )
Single Valued Extension Property (SVEP)
Issue Date: Dec-2015
Publisher: 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.
URI: https://www.informaticsjournals.com/index.php/jims/article/view/1695
http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11483
Appears in Collections:Department of Mathematics

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.