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

Gyan Prakash Tripathi

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 $l^{2}$ .