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Absolute projection constants via absolute minimal projections

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1166)

Keywords

  • Fundamental Solution
  • Regular Polyhedron
  • Linear Homogeneous Equation
  • Minimal Projection
  • Lebesgue Function

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References

  1. Chalmers, B. L., "The (*)-equation and the form of the minimal projection operator," in Approximation Theory IV (C.K. Chui, L.L. Schumaker, and J.D. Ward, eds.), pp. 393–399.

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  2. _____, "A variational equation for minimal norm extensions," submitted for publication.

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  3. _____, "A natural simple projection with norm ≤ √n," J. Approx. Theory 32(1981) pp. 226–232.

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  4. _____, "The Fourier projection is minimal for regular polyhedral spaces," J. Approx. Theory, to appear.

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  5. _____, "The absolute projection constant for lines in L1[a,b]," in preparation.

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  6. Chalmers, B. L. and F. T. Metcalf, "The minimal projection onto the quadratics," in preparation.

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  7. Chalmers, B. L. and B. Shekhtman, "Minimal projections and absolute projection constants for regular polyhedral spaces," Proc. Amer. Math. Soc., to appear.

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  8. Franchetti, C. and E. W. Cheney, "Minimal projections in L1-spaces," Duke Math. J. 43(1976), 501–510.

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  9. Grünbaum, B., "Projection constants," Trans. Amer. Math. Soc. 95 (1960), 451–465.

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© 1985 Springer-Verlag

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Chalmers, B.L. (1985). Absolute projection constants via absolute minimal projections. In: Kalton, N.J., Saab, E. (eds) Banach Spaces. Lecture Notes in Mathematics, vol 1166. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074688

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  • DOI: https://doi.org/10.1007/BFb0074688

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16051-9

  • Online ISBN: 978-3-540-39736-6

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