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Nörlund matrices as bounded operators onl p

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References

  1. R. P. Agnew, A genesis for Cesàro methods. Bull. Amer. Math. Soc.,51, 90–94 (1945).

    Google Scholar 

  2. D. Borwein, Generalized Hausdorff matrices as bounded operatos onl p. Math. Z.183, 483–487 (1983).

    Google Scholar 

  3. D. Borwein andA. Jakimovski, Matrix operators onl p. Rocky Mountain J. Math.9, 463–477 (1979).

    Google Scholar 

  4. A. Brown, P. R. Halmos andA. L. Shields, Cesàro operators. Acta. Sci. Math. (Szeged)26, 125–137 (1965).

    Google Scholar 

  5. J. M.Cartlidge, Weighted mean matrices as operators onl p. Ph D. thesis, Indiana University 1978.

  6. N.Dunford and J. T.Schwartz, Linear Operators Part I. New York 1957.

  7. P. R.Halmos, A Hilbert Space Problem Book. New York 1967.

  8. G. H. Hardy, An inequality for Hausdorff means. J. London Math. Soc.18, 46–50 (1943).

    Google Scholar 

  9. G. H.Hardy, Divergent Series. Oxford 1949.

  10. A. Jakimovski, B. E. Rhoades andJ. Tzimbalario, Hausdorff matrices as bounded operators overl p. Math. Zeit.138, 173–181 (1974).

    Google Scholar 

  11. W.Rudin, Real and Complex Analysis, 2nd edition. New York 1974.

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Author notes

  1. David Borwein & F. Peter Cass

    Present address: Department of Mathematics, The University of Western Ontario, N6A 5B7, London, Ontario, Canada

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    1. David Borwein
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    2. F. Peter Cass
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    Additional information

    This research was partially supported by Grants A2983 and A4806 of the Natural Sciences and Engineering Research Council of Canada.

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    Borwein, D., Cass, F.P. Nörlund matrices as bounded operators onl p . Arch. Math 42, 464–469 (1984). https://doi.org/10.1007/BF01190697

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