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The fine spectrum of the Cesàro operator in \(\ell _ p(1<p<\infty)\). (English) Zbl 0568.47021
See the preview in Zbl 0548.47016.

MSC:
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
47A10 Spectrum, resolvent
46A45 Sequence spaces (including Köthe sequence spaces)
40G05 Cesàro, Euler, Nörlund and Hausdorff methods
Citations:
Zbl 0548.47016
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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). · Zbl 0149.09902
[3] A. P. Calderón, Intermediate spaces and interpolation. The complex method. Studia Math.24, 113-190 (1964). · Zbl 0204.13703
[4] B. E. Rhoades, Spectra of some Hausdorff operators. Acta Sci. Math.32, 91-100 (1971). · Zbl 0223.47017
[5] B. E. Rhoades, Generalized Hausdorff matrices bounded onl p andc. Acta Sci. Math.43, 333-345 (1981). · Zbl 0487.40003
[6] B. E. Rhoades, The fine spectra for weighted mean operators. Pacific J. Math.104, 219-230 (1983). · Zbl 0501.40007
[7] A. E.Taylor and D. C.Lay, Introduction to functional analysis. New York 1980. · Zbl 0501.46003
[8] R. B. Wenger, The fine spectra of the Holder summability operators. Indian J. Pure Appl. Math.6, 695-712 (1975). · Zbl 0362.40010
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