| Compactness and weak compactness of elementary operators on $B(l^2)$ induced by composition operators on $l^2$ |
| Gyan Prakash Tripathi |
Abstract 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 $l^{2}$.
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Keywords: Compactness; composition operators; elementary operators; thin operators. |
MSC: 47B33, 47B47 |
Pages: 227--233 |
Volume 61 , Issue 3 , 2009 |
