This is an announcement for the paper "Stafney's lemma holds for several "classical" interpolation methods" by Alon Ivtsan.
Abstract: Let (B_0,B_1) be a Banach pair. Stafney showed that in the definition of the norm in the Calderon complex interpolation method on the strip, one can replace the space F(B_0,B_1) with its subspace G(B_0,B_1) if the element belongs to the intersection of B_0 and B_1. We extend this result to a more general setting, which contains several well-known interpolation methods, namely the Calderon complex interpolation method on the annulus, an appropriate version of the Lions-Peetre real method, and the Peetre "plus minus" method.
Archive classification: math.FA
Mathematics Subject Classification: 46B70 (primary); 46B45 (secondary)
Remarks: 7 pages
The source file(s), stafney30-t.tex: 35607 bytes, is(are) stored in gzipped form as 0911.5719.gz with size 9kb. The corresponding postcript file has gzipped size 84kb.
Submitted from: aloniv@tx.technion.ac.il
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