Abstract
In this chapter we introduce the first of the two explicit interpolation functors which we employ for the applications in the last three chapters. Our presentation of this method/functor—the real interpolation method—follows essentially Peetre [10]. In general, we work with normed linear spaces. However, we have tried to facilitate the extension of the method to comprise also the case of quasi-normed linear spaces, and even quasi-normed Abelian groups. Consequently, these latter cases are treated with a minimum of new proofs in Sections 3.10 and 3.11. In the first nine sections we consider the category N1 of compatible couples of spaces in the category N of normed linear spaces unless otherwise stated.
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© 1976 Springer-Verlag Berlin Heidelberg
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Bergh, J., Löfström, J. (1976). The Real Interpolation Method. In: Interpolation Spaces. Grundlehren der mathematischen Wissenschaften, vol 223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-66451-9_3
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DOI: https://doi.org/10.1007/978-3-642-66451-9_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-66453-3
Online ISBN: 978-3-642-66451-9
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