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2 results

On the Relationship between Interpolation of Banach Algebras and Interpolation of Bilinear Operators
Fernando Cobos, Luz M. Fernández-Cabrera
Journal:

Canadian Mathematical Bulletin / Volume 53 / Issue 1 / 01 March 2010

Published online by Cambridge University Press:

20 November 2018, pp. 51-57

Print publication:

01 March 2010
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We show that if the general real method ${{\left( \cdot \,,\,\cdot \right)}_{\Gamma }}$ preserves the Banach-algebra structure, then a bilinear interpolation theorem holds for ${{\left( \cdot \,,\,\cdot \right)}_{\Gamma }}$.

Real Interpolation with Logarithmic Functors and Reiteration
W. D. Evans, B. Opic
Journal:

Canadian Journal of Mathematics / Volume 52 / Issue 5 / 01 October 2000

Published online by Cambridge University Press:

20 November 2018, pp. 920-960

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01 October 2000
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We present “reiteration theorems” with limiting values $\theta =0$ and $\theta =1$ 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. For an ordered couple of (quasi-) Banach spaces similar results were presented without proofs by Doktorskii in $[\text{D}]$.