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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. Fern├índez-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 real interpolation, bilinear operators, Banach algebras
MSC Classifications: 46B70, 46M35, 46H05 show english descriptions Interpolation between normed linear spaces [See also 46M35]
Abstract interpolation of topological vector spaces [See also 46B70]
General theory of topological algebras
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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