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On the Relationship between Interpolation of Banach Algebras and Interpolation of Bilinear Operators

Published online by Cambridge University Press:  20 November 2018

Fernando Cobos  and
Luz M. Fernández-Cabrera
Fernando Cobos
Affiliation:
Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain e-mail: cobos@mat.ucm.es
Luz M. Fernández-Cabrera
Affiliation:
Sección Departamental de Matemática Aplicada, Escuela de Estadística, Universidad Complutense de Madrid, 28040 Madrid, Spain e-mail: luz fernandez-c@mat.ucm.es
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Abstract

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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 ${{\left( \cdot \,,\,\cdot \right)}_{\Gamma }}$.

Keywords

46B7046M3546H05real interpolationbilinear operatorsBanach algebras
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 1 , 01 March 2010 , pp. 51 - 57
Copyright
Copyright © Canadian Mathematical Society 2010

References

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