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Minimal projections on hyperplanes in sequence spaces

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Summary

The projection constants of hyperplanes in the classical sequence spaces (c 0 ) and (l 1 ) are determined, together with the projections of minimum norm.

References

  1. [1]

    J. Blatter -E. W. Cheney,On the existence of extremal projections, J. Approximation Theory,6 (1972), pp. 72–79.

  2. [2]

    E. W. Cheney -K. H. Price,Minimal projections, inApproximation Theory, A. Talbot, ed., Academic Press, New York, pp. 261–289.

  3. [3]

    E. W. Cheney -K. H. Price,Minimal interpolating projections, inIterations-Verfahren Numerische Mathematik Approximationstheorie, ISNM, vol. 15, Birkhauser Verlag, Basel, 1970, pp. 115–121.

  4. [4]

    E. W. Cheney,Projections with finite carrier, Research Paper CNA 28, Center for Numerical Analysis, The University of Texas at Austin, Texas, July 1971. To appear in Proceedings of a Conference on Numerical Methods in Approximation Theory, Oberwolfach, Germany, June 1971, ISMN vol. 16, Birkhauser-Verlag, Basel, 1972.

  5. [5]

    A. Ju. Levin -Ju. I. Petunin,Some problems related to the concept to orthogonality in a Banach space, Uspehi Math. Nauk,18 (1963), no.3(111), pp. 167–170, MR 27-2833.

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Entrata in Redazione I'll dicembre 1972.

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Blatter, J., Cheney, E.W. Minimal projections on hyperplanes in sequence spaces. Annali di Matematica 101, 215–227 (1974) doi:10.1007/BF02417105

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Keywords

  • Sequence Space
  • Minimum Norm
  • Classical Sequence
  • Minimal Projection
  • Projection Constant