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Uniformly convexifying operators in classical Banach spaces

Published online by Cambridge University Press:  17 April 2009

Manuela Basallote ,
Manuel D. Contreras  and
Santiago Díaz-Madrigal
Manuela Basallote
Affiliation:
Departamento de Matemática Aplicada II, Escuela Superior de Ingenieros Industriales, Universidad de Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain e-mail: mabas@matinc.us.es
Manuel D. Contreras
Affiliation:
Departamento de Matemática Aplicada II, Escuela Superior de Ingenieros Industriales, Universidad de Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain e-mail: mcm@matinc.us.es
Santiago Díaz-Madrigal
Affiliation:
Departamento de Matemática Aplicada II, Escuela Superior de Ingenieros Industriales, Universidad de Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain e-mail: madrigal@cica.es
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Abstract

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We obtain a new characterisation of finite representability of operators and present new results about uniformly convexifying, Rademacher cotype and Rademacher type operators on some classical Banach spaces, including JB* -triples and spaces of analytic functions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 2 , April 1999 , pp. 225 - 236
Copyright
Copyright © Australian Mathematical Society 1999

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