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Real method of interpolation on subcouples of codimension one

Astashkin, S. V.; Sunehag, P.


We find necessary and sufficient conditions under which the norms of the interpolation spaces (N0,N1)θ,q and (X0,X1)θ,q are equivalent on N, where N is the kernel of a nonzero functional ψ∈(X0∩X1)∗ and Ni is the normed space N with the norm inherited from Xi (i=0,1). Our proof is based on reducing the problem to its partial case studied by Ivanov and Kalton, where ψ is bounded on one of the endpoint spaces. As an application we completely resolve the problem of when the range of the operator...[Show more]

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
Source: Studia Mathematica
DOI: 10.4064/sm185-2-4


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