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Akhmedov, Ali M. Baku State University
Basar, Feyzi Inonu University
The sequence space bvp consisting of all sequences (xk) such that (xk - xk-1) in the sequence space lp has recently been introduced by Basar and Altay [Ukrainian Math. J. 55(1)(2003), 136-147]; where 1 ≤ p ≤ ∞. In the present paper, the norm of the Cesàro operator C1 acting on the sequence space bvp has been found and the fine spectrum of the Cesàro operator C1 over the sequence space bvp has been determined, where 1 ≤ p < ∞.
Spectrum of an operator
Cesaro operator and the sequence space bvp
Mathematical Journal of Okayama University
Department of Mathematics, Faculty of Science, Okayama University