Local Spectral Properties of a Composition Operator on LP Spaces

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Authors

  • Shailesh Trivedi
     Department of Mathematics, Banaras Hindu University Varanasi, 221005 ,IN
  • Harish Chandra
     Department of Mathematics and DST-CIMS, Banaras Hindu University, Varanasi, 221005 ,IN

Keywords:

Composition Operator, Conservative, Decomposability, Decomposition Property (δ, ), Single Valued Extension Property.
Numerical Analysis

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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Published

2015-12-01

How to Cite

Trivedi, S., & Chandra, H. (2015). Local Spectral Properties of a Composition Operator on L<sup>P</sup> Spaces. The Journal of the Indian Mathematical Society, 82(3-4), 219–226. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/1695

Issue

Volume 82, Issue 3-4, July-December 2015

Section

Articles

License

Copyright (c) 2015 Shailesh Trivedi, Harish Chandra

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

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