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Part of the book series: NATO ASI Series ((ASIC,volume 356))

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Abstract

We provide some simple examples of subspaces of L for which the projection constants do not behave nicely. In particular we show that the relative projection constant does not interpolate.

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References

  1. B. Beauzamy. Introduction to Banach Spaces and their Geometry, North-Holland, 1985.

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  2. C. de Boor. A Bound on the L221E-Norm of L2-Approximation, Mathematics of Computation, 30 (1976), 765–771.

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  3. J. Lindenstrauss and L. Tsafriri, Classical Banach Spaces I, Springer-Verlag, 1977.

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  4. J. Marti, Introduction to the Theory of Bases, Springer-Verlag, 1969.

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  5. A. Pietsch. Operator Ideals, North-Holland, 1980.

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© 1992 Springer Science+Business Media Dordrecht

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Shekhtman, B. (1992). Some Examples Concerning Projection Constants. In: Singh, S.P. (eds) Approximation Theory, Spline Functions and Applications. NATO ASI Series, vol 356. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2634-2_34

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  • DOI: https://doi.org/10.1007/978-94-011-2634-2_34

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5164-4

  • Online ISBN: 978-94-011-2634-2

  • eBook Packages: Springer Book Archive

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