Summary: In Bull. Lond. Math. Soc. 21, No. 4, 399-406 (1989; Zbl 0695.47024), H. C. Rhaly jun. determined the spectrum , the Rhaly operator which is represented by the matrix
regarded as an operator on the Hilbert space normed by . It is the purpose of this paper to determine the spectrum of Rhaly operator as an operator on the spaces of all sequence such that holds.