Optimal decompositions for the K-functional for a couple of Banach lattices
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چکیده
منابع مشابه
Optimal Decompositions for the K-functional for a Couple of Banach Lattices
Let f = gt + ht be the optimal decomposition for calculating the exact value of the K-functional K(t, f ;X) of an element f with respect to a couple X = (X0, X1) of Banach lattices of measurable functions. It is shown that this decomposition has a rather simple form in many cases where one of the spaces X0 and X1 is either L∞ or L1. Many examples are given of couples of lattices X for which |gt...
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ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 2001
ISSN: 0004-2080
DOI: 10.1007/bf02388790