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Real interpolation for divisible cones
Published online by Cambridge University Press: 20 January 2009
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We give necessary and sufficient conditions on a general cone of positive functions to satisfy the Decomposition Property (DP) introduced in [5] and connect the results with the theory of interpolation of cones introduced by Sagher [9]. One of our main result states that if Q satisfies DP or equivalently is divisible, then for the quasi-normed spaces E0 and E1,
According to this formula, it yields that the interpolation theory for divisible cones can be easily obtained from the classical theory.
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- Copyright © Edinburgh Mathematical Society 1999
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