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The fine spectrum of the Cesàro operator in p (1<p<). (English) Zbl 0568.47021
See the preview in Zbl 0548.47016.
MSC:
47B37Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
47A10Spectrum and resolvent of linear operators
46A45Sequence spaces
40G05Cesàro, Euler, Nörlund and Hausdorff methods
References:
[1]A.Bouvier, Théorie élémentaire des séries. Paris 1971.
[2]A. Brown, P. R. Halmos andA. L. Shields, Cesàro operators. Acta Sci. Math.26, 125-137 (1965).
[3]A. P. Calderón, Intermediate spaces and interpolation. The complex method. Studia Math.24, 113-190 (1964).
[4]B. E. Rhoades, Spectra of some Hausdorff operators. Acta Sci. Math.32, 91-100 (1971).
[5]B. E. Rhoades, Generalized Hausdorff matrices bounded onl p andc. Acta Sci. Math.43, 333-345 (1981).
[6]B. E. Rhoades, The fine spectra for weighted mean operators. Pacific J. Math.104, 219-230 (1983).
[7]A. E.Taylor and D. C.Lay, Introduction to functional analysis. New York 1980.
[8]R. B. Wenger, The fine spectra of the Holder summability operators. Indian J. Pure Appl. Math.6, 695-712 (1975).