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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An elementary proof of the principle
of local reflexivity


Author: Antonio Martínez-Abejón
Journal: Proc. Amer. Math. Soc. 127 (1999), 1397-1398
MSC (1991): Primary 46B20, 46B10
Published electronically: January 28, 1999
MathSciNet review: 1476378
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Abstract: We give an elementary proof of the principle of local reflexivity.


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Additional Information

Antonio Martínez-Abejón
Affiliation: Department of Mathematics, The University of Texas at Austin, Austin, Texas 78712
Address at time of publication: Facultad de Ciencias, c/ Calvo Sotelo s.n., Universidad de Oviedo, Spain
Email: ama@pinon.cu.uniovi.es

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04687-0
PII: S 0002-9939(99)04687-0
Keywords: Local reflexivity, weak$^*$-topology, $\varepsilon$-isometry
Received by editor(s): September 27, 1996
Received by editor(s) in revised form: August 18, 1997
Published electronically: January 28, 1999
Additional Notes: The author’s research was supported by a postdoctoral Grant of the Ministry of Spain for Education and Science and DGYCIT Grant PB 94–1052 (Spain)
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1999 American Mathematical Society