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

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Authors

  • Department of Mathematics, Banaras Hindu University, Varanasi-221 005 ,IN
  • Department of Mathematics, Banaras Hindu University, Varanasi-221 005 ,IN

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.

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Published

2005-12-01

How to Cite

Lal, N., & Tripathi, G. P. (2005). Composition Operators on l<sup>2</sup> of The form "Normal Plus Compact". The Journal of the Indian Mathematical Society, 72(1-4), 221–226. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/21834