MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
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