Spectrum of Certain Unbounded Composition Transformations in l2

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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. Let CΦ be an unbounded densely defined composition transformation in l2 induced by a function Φ on N into itself such that n ∈Φ-1(n) for each n in the range of Φ. We prove that spectrum of CΦ is all of C.

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Published

2004-12-01

How to Cite

Nandlal, ., & Kumar, P. (2004). Spectrum of Certain Unbounded Composition Transformations in l<sup>2</sup>. The Journal of the Indian Mathematical Society, 71(1-4), 125–129. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/22037