Vol. 104, No. 1, 1983

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ISSN: 0030-8730
The fine spectra for weighted mean operators

Billy E. Rhoades

Vol. 104 (1983), No. 1, 219–230
Abstract

In a recent paper [5] the fine spectra of integer powers of the Cesàro matrix were computed. In this paper the fine spectra of weighted mean methods are determined. In most cases investigated, the interior points belong to III1, the boundary points, except 1, belong to II2, and 1 and any isolated points belong to III3, where III1, II2, and III3 are portions of the state space as described in [3].

Mathematical Subject Classification 2000
Primary: 47A10
Secondary: 47B37
Milestones
Received: 1 May 1979
Revised: 29 January 1982
Published: 1 January 1983
Authors
Billy E. Rhoades