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ArticleOriginal scientific text

Title

Interpolation of real method spaces via some ideals of operators

Authors 1, 2

Affiliations

  1. Faculty of Mathematics and Computer Science, A. Mickiewicz University, Matejki 48/49 60-769 Poznań, Poland
  2. Department of Mathematics, Florida Atlantic University, Boca Raton, FL 33431, U.S.A.

Abstract

Certain operator ideals are used to study interpolation of operators between spaces generated by the real method. Using orbital equivalence a new reiteration formula is proved for certain real interpolation spaces generated by ordered pairs of Banach lattices of the form (X,L∞(w)). As an application we extend Ovchinnikov's interpolation theorem from the context of classical Lions-Peetre spaces to a larger class of real interpolation spaces. A description of certain abstract J-method spaces is also presented.

Bibliography

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Studia Mathematica
1999/136/1
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Pages:
17-35
Main language of publication
English
Received
1998-06-20
Published
1999
Exact and natural sciences