# zbMATH — the first resource for mathematics

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.)
##### Keywords:
spectrum of a Rhaly matrix
Zbl 0695.47024