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


Gyan Prakash Tripathi


In this paper we have given simple proofs of some range inclusion results 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 operators on $B(l^{2})$ induced by composition operators on $l^{2}$.