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SCALAR BOUNDEDNESS OF VECTOR-VALUED FUNCTIONS

Published online by Cambridge University Press:  12 December 2011

MATÍAS RAJA  and
JOSÉ RODRÍGUEZ
MATÍAS RAJA
Affiliation:
Departamento de Matemáticas, Facultad de Matemáticas, Universidad de Murcia, 30100 Espinardo (Murcia), Spain e-mail: matias@um.es
JOSÉ RODRÍGUEZ
Affiliation:
Departamento de Matemática Aplicada, Facultad de Informática, Universidad de Murcia, 30100 Espinardo (Murcia), Spain e-mail: joserr@um.es
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Abstract

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We provide sufficient conditions for a Banach space-valued function to be scalarly bounded, which do not require to test on the whole dual space. Some applications in vector integration are also given.

Keywords

28B0546G10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 2 , May 2012 , pp. 325 - 333
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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