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SOME COMPACTNESS RESULTS IN REAL INTERPOLATION FOR FAMILIES OF BANACH SPACES
Published online by Cambridge University Press: 01 October 1998
Abstract
The paper shows that, if the operator T[ratio ]A(γ)→B(γ) is compact for almost every γ∈Γ, then T[ratio ]F(Ā)→F([Bmacron]) is compact when F([Xmacron])=(X)SK or F([Xmacron])=(X)SJ is the interpolation functor constructed for infinite families of Banach spaces and S satisfies certain conditions.
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- Notes and Papers
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- The London Mathematical Society 1998
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