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Authors
Affiliations
1 Department of Mathematics, Banaras Hindu University, Varanasi-221 005, IN
Source
The Journal of the Indian Mathematical Society, Vol 71, No 1-4 (2004), Pagination: 125-129
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.