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SOME EXAMPLES IN VECTOR INTEGRATION

Part of: Measures, integration, derivative, holomorphy Set functions, measures and integrals with values in abstract spaces

Published online by Cambridge University Press:  29 June 2009

JOSÉ RODRÍGUEZ
JOSÉ RODRÍGUEZ*
Affiliation:
Departamento de Matemática Aplicada, Facultad de Informática, Universidad de Murcia, 30100 Espinardo (Murcia), Spain (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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Some classical examples in vector integration due to Phillips, Hagler and Talagrand are revisited from the point of view of the Birkhoff and McShane integrals.

Keywords

Pettis integralMcShane integralBirkhoff integraluniversal integrability

MSC classification

Secondary: 28B05: Vector-valued set functions, measures and integrals 46G10: Vector-valued measures and integration
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 80 , Issue 3 , December 2009 , pp. 384 - 392
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

Footnotes

Research partially supported by MEC and FEDER (project MTM2005-08379) and Generalitat Valenciana (project GVPRE/2008/312).

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