The Journal of the Indian Mathematical Society

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Composition Operators on l2 of The form “Normal Plus Compact"


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1 Department of Mathematics, Banaras Hindu University, Varanasi-221 005, India
     

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Let l2 be the Hilbert space of all square summable sequences of complex numbers under the standard inner product on it and CΦ be a composition operator on l2 induced by a function Φ on N into itself. In this paper we have obtained a necessary and sufficient condition for a composition operator CΦ to be a sum of a normal and a compact operator, explicitly in terms of Φ.
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  • Composition Operators on l2 of The form “Normal Plus Compact"

Abstract Views: 229  |  PDF Views: 0

Authors

Nand Lal
Department of Mathematics, Banaras Hindu University, Varanasi-221 005, India
Gyan Prakash Tripathi
Department of Mathematics, Banaras Hindu University, Varanasi-221 005, India

Abstract


Let l2 be the Hilbert space of all square summable sequences of complex numbers under the standard inner product on it and CΦ be a composition operator on l2 induced by a function Φ on N into itself. In this paper we have obtained a necessary and sufficient condition for a composition operator CΦ to be a sum of a normal and a compact operator, explicitly in terms of Φ.