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Dual local completeness


Authors: Stephen A. Saxon and L. M. Sánchez Ruiz
Journal: Proc. Amer. Math. Soc. 125 (1997), 1063-1070
MSC (1991): Primary 46A08
DOI: https://doi.org/10.1090/S0002-9939-97-03864-1
MathSciNet review: 1389535
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Abstract: The 1971 articles in which Saxon-Levin and Valdivia independently proved their Theorem feature two conditions equivalent to dual local completeness. One became Ruess' property (LC). The other is among new characterizations previously known only as necessary conditions.


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Additional Information

Stephen A. Saxon
Affiliation: Department of Mathematics, University of Florida, PO Box 118000, Gainesville, Florida 32611-8000
Email: saxon@math.ufl.edu

L. M. Sánchez Ruiz
Affiliation: EUITI-Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, E-46071 Valencia, Spain
Email: lmsr@mat.upv.es

DOI: https://doi.org/10.1090/S0002-9939-97-03864-1
Keywords: Dual locally complete, barrelled, properties (L) and (LC)
Received by editor(s): September 15, 1995
Additional Notes: This paper was started while the second author stayed at the University of Florida supported by DGICYT PR95-182, later by PR94-204 and IVEI 003/033
Communicated by: Dale Alspach
Article copyright: © Copyright 1997 American Mathematical Society