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On the Relationship Between Interpolation of Banach Algebras and Interpolation of Bilinear Operators |
Published:2009-12-04
Printed: Mar 2010
Printed: Mar 2010
- Fernando Cobos
- Luz M. Fernández-Cabrera
Abstract
We show that if the general real method $(\cdot ,\cdot )_\Gamma$
preserves the Banach-algebra structure, then a bilinear
interpolation theorem holds for $(\cdot ,\cdot )_\Gamma$.
| Keywords: | real interpolation, bilinear operators, Banach algebras |
| MSC Classifications: |
46B70 - Interpolation between normed linear spaces [See also 46M35] 46M35 - Abstract interpolation of topological vector spaces [See also 46B70] 46H05 - General theory of topological algebras |