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A categorical framework for interpolation theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 962)

Keywords

  • Banach Space
  • Natural Transformation
  • Monoidal Category
  • Interpolation Space
  • Interpolation Theory

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References

  1. J. Bergh and J. Löfström, Interpolation Spaces, Grundlehren der mathematischen Wissenschaften 223, Springer-Verlag Berlin, Heidelberg, New York (1976).

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  2. C. Herz and J. Wick Pelletier, Dual Functors and Integral Operators in the Category of Banach spaces, J. Pure Appl. Alg. 8 (1976), 5–22.

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  3. S. Janson, Minimal and Maximal Methods of Interpolation, Report No. 6, Institut Mittag-Laffler (1980).

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  4. S. Kaijser, On Banach Modules I, Math. Proc. Camb. Phil. Soc., to appear.

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  5. F.E.J. Linton, Autonomous Categories and Duality of Functors, J. Alg. 2 (1965), 315–349.

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  6. B.S. Mityagin and A.S. Švarc, Functors in categories of Banach Spaces, Russ. Math. Surveys 19 No. 2 (1964), 65–127.

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© 1982 Springer-Verlag

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Kaijser, S., Pelletier, J.W. (1982). A categorical framework for interpolation theory. In: Kamps, K.H., Pumplün, D., Tholen, W. (eds) Category Theory. Lecture Notes in Mathematics, vol 962. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066894

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  • DOI: https://doi.org/10.1007/BFb0066894

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11961-6

  • Online ISBN: 978-3-540-39550-8

  • eBook Packages: Springer Book Archive