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http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/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 |
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