On the spectrum of the Rhaly operators on l(p)
Özet
In 1989, Rhaly determined the spectrum of R-alpha, the Rhaly operator which is represented by the matrix : [GRAPHICS] regarded as an operator on the Hilbert space iota (2) normed by parallel to x parallel to = (Sigma (n) 1 x(n) 1(2))(1/2). It is the purpose of this paper to determine the spectrum of Rhaly operator R-alpha as an operator on the spaces iota (p) of all sequence x such that Sigma (n) 1 x(n) 1(p) < <infinity> holds.
Kaynak
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICSCilt
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