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The primariness of rearrangement invariant function p-spaces, 0<p⩽1

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Part of the Lecture Notes in Mathematics book series (LNM,volume 991)

Abstract

Some important results of the theory of rearrangement invariant spaces can be extended in the framework of the theory of rearrangement invariant p-spaces, where 0<p<1.

A special attention is paid to the primariness of the separable r.i.p-spaces, whose Boyd indices are non-trivial.

Keywords

  • Unconditional Basis
  • Interpolation Theorem
  • Haar System
  • Lebesgue Measurable Function
  • Rearrangement Invariant Space

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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© 1983 Springer-Verlag

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Popa, N. (1983). The primariness of rearrangement invariant function p-spaces, 0<p⩽1. In: Pietsch, A., Popa, N., Singer, I. (eds) Banach Space Theory and its Applications. Lecture Notes in Mathematics, vol 991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061572

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  • DOI: https://doi.org/10.1007/BFb0061572

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12298-2

  • Online ISBN: 978-3-540-39877-6

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