A note on sequences lying in the range

of a vector measure valued in the bidual

Authors:
Begoña Marchena and Cándido Piñeiro

Journal:
Proc. Amer. Math. Soc. **126** (1998), 3013-3017

MSC (1991):
Primary 46G10, 47B10

DOI:
https://doi.org/10.1090/S0002-9939-98-04350-0

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a Banach space. It is unknown if every subset of lying in the range of an -valued measure is actually contained in the range of an -valued measure. In this paper we solve this problem in the case when we consider only vector measures of bounded variation.

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Additional Information

**Begoña Marchena**

Affiliation:
Departamento de Matemáticas, Escuela Politécnica Superior, Universidad de Huelva, 21810 La Rábida, Huelva, Spain

**Cándido Piñeiro**

Affiliation:
Departamento de Matemáticas, Escuela Politécnica Superior, Universidad de Huelva, 21810 La Rábida, Huelva, Spain

Email:
candido@uhu.es

DOI:
https://doi.org/10.1090/S0002-9939-98-04350-0

Received by editor(s):
October 14, 1996

Received by editor(s) in revised form:
March 14, 1997

Communicated by:
Palle E. T. Jorgensen

Article copyright:
© Copyright 1998
American Mathematical Society