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On the spectrum and fine spectrum of the compact Rhaly operators. (English) Zbl 0859.47004
Summary: H. C. Rhaly [Bull. Lond. Math. Soc. 21, No. 4, 399-406 (1989; Zbl 0695.47024)] determined the spectrum of a Rhaly matrix \(M\) regarded as an operator on the Hilbert space \(\ell_2\). It is the purpose of this paper to determine the spectrum of a Rhaly matrix \(M\) as an operator on the spaces \(c_0\) and \(c\), under the assumption that \(\text{diag} \{M\}=o(1/n)\).

MSC:
47A10 Spectrum, resolvent
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
Citations:
Zbl 0695.47024
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