Geodesic
The Spectrum of Weighted Mean Operators
Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 446-449

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DOI

Recently J. B. Reade determined the spectrum of C, the Cesaro matrix of order 1, considered as an operator on cO, the space of null sequences. Previously F. P. A. Cass and the author had determined the spectra for a large class of weighted mean operators on c, the space of convergent sequences. Subsequently the author determined the fine spectra of these operators over c. This paper examines the spectra and fine spectra of weighted mean operators on cO, obtaining the result of Reade as a special case.
DOI : 10.4153/CMB-1987-065-9
Mots-clés : 40G99, 47A10 
Rhoades, B. E. The Spectrum of Weighted Mean Operators. Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 446-449. doi: 10.4153/CMB-1987-065-9
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     title = {The {Spectrum} of {Weighted} {Mean} {Operators}},
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     year = {1987},
     volume = {30},
     number = {4},
     doi = {10.4153/CMB-1987-065-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-065-9/}
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