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Interpolation Functors In Weak-Type Interpolation
Results in Mathematics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fehér, F., Strauss, M. J.
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Real Interpolation with Logarithmic Functors and Reiteration
Canadian Journal of Mathematics, 2000AbstractWe present “reiteration theorems” with limiting values θ = 0 and θ = 1 for a real interpolation method involving broken-logarithmic functors. The resulting spaces lie outside of the original scale of spaces and to describe them new interpolation functors are introduced.
Evans, W. D., Opic, B.
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Interpolation of compactness using Aronszajn-Gagliardo functors
Israel Journal of Mathematics, 1989Let \(\bar A=(A_ 0,A_ 1)\) and \(\bar B=(B_ 0,B_ 1)\) be Banach couples and suppose that T: \(A_ i\to B_ i\), is a compact operator, \(i=1,2\). The authors prove that, for all F maximal or minimal Aronszajn- Gagliardo interpolation functor, \(T: F(\bar A)\to F(\bar B)\) is compact. The result applies, in particular, to the real method of interpolation,
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