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# On the Relationship Between Interpolation of Banach Algebras and Interpolation of Bilinear Operators

Published:2009-12-04
Printed: Mar 2010
• Fernando Cobos
• Luz M. Fernández-Cabrera
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## 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

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