Compactness and weak compactness of elementary operators on $B(l^2)$ induced by composition operators on $l^2$

Authors

  • Gyan Prakash Tripathi Department of Mathematics, SGR PG College, Dobhi, Janpur-222149, INDIA Author

Keywords:

Compactness, composition operators, elementary operators, thin operators

Subjects:

47B33, 47B47

Abstract

In this paper we have given simple proofs of some range inclusionresults of elementary operators on $B(l^{2})$ induced by composition operators on $l^{2}$.By using these results we have characterized compact and weakly compact elementary operatorson $B(l^{2})$ induced by composition operators on $l^{2}$.

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Published

2009-07-15

Issue

Vol. 61 No. 3 (2009): Vol. 61, Issue 3

Section

Articles

License

Copyright (c) 2009 Authors retain copyright to their work.

Creative Commons License

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