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Vector measure duality and tensor product representations of  -spaces of vector measures
Author(s):
E.
A. Sánchez
Pérez
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3319-3326.
MSC (2000):
Primary 46E30;
Secondary 46G10
Posted:
June 2, 2004
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Abstract:
Let  be a countably additive vector measure. In this paper we use the definition of vector measure duality to establish a tensor product representation theorem for the space of  -integrable functions with respect to  . In particular, we identify this space with the dual of a certain space of operators under reasonable restrictions for the vector measure  .
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Additional Information:
E.
A. Sánchez
Pérez
Affiliation:
Departamento de Matemática Aplicada, E.T.S. Ingenieros de Caminos, Canales y Puertos, Universidad Politécnica de Valencia, Camino de Vera, 46071 Valencia, Spain
Email:
easancpe@mat.upv.es
DOI:
10.1090/S0002-9939-04-07521-5
PII:
S 0002-9939(04)07521-5
Keywords:
Vector measures,
$p$-integrable functions,
tensor products
Received by editor(s):
October 23, 2002
Received by editor(s) in revised form:
August 21, 2003
Posted:
June 2, 2004
Dedicated:
The author dedicates this paper to the memory of Professor Klaus Floret.
Communicated by:
N. Tomczak-Jaegermann
Copyright of article:
Copyright
2004,
American Mathematical Society
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