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ISSN 1088-6826(e) ISSN 0002-9939(p)

A local approach to functionals on $L^{\infty }(\mu ,X)$

Author(s): Santiago Díaz
Journal: Proc. Amer. Math. Soc. 128 (2000), 101-109.
MSC (1991): Primary 46E40
Posted: June 21, 1999
MathSciNet review: 1657715
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Abstract | References | Similar articles | Additional information

Abstract: Let $(\Omega ,\Sigma ,\mu )$ be a probability space and a Banach space. We show that the dual of $L^{\infty }(\mu ,X)$ can be ``locally'' identified with $L^{1}(\mu ,X^{*}).$

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Additional Information:

Santiago Díaz
Affiliation: Departamento de Matemática Aplicada II, Escuela Superior de Ingenieros, Universidad de Sevilla, Camino de los Descubrimientos 41092, Sevilla, Spain
Email: madrigal@cica.es

DOI: 10.1090/S0002-9939-99-05284-3
PII: S 0002-9939(99)05284-3
Keywords: Integrable functions, local reflexivity
Received by editor(s): March 6, 1998
Posted: June 21, 1999
Additional Notes: This research has been partially supported by the DGICYT project n. PB97-0706 and by La Consejería de Educación y Ciencia de la Junta de Andalucía.
Communicated by: Dale Alspach
Copyright of article: Copyright 1999, American Mathematical Society

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