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An elementary proof of the principle of local reflexivity
Author(s):
Antonio
Martínez-Abejón
Journal:
Proc. Amer. Math. Soc.
127
(1999),
1397-1398.
MSC (1991):
Primary 46B20, 46B10
Posted:
January 28, 1999
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Abstract:
We give an elementary proof of the principle of local reflexivity.
References:
- 1.
- D.W. Dean, The equation
 and the principle of local reflexivity. Proc. of Amer. Math. Soc. 40 (1973), 146-148. MR 48:2735 - 2.
- W.B. Johnson, H. Rosenthal and M. Zippin, On bases, finite dimensional decompositions and weaker structures in Banach spaces. Israel J. Math. 9 (1971), 488-506. MR 43:6702
- 3.
- J. Lindenstrauss and H. Rosenthal, The
 spaces. Israel J. Math. 7 (1969), 325-349. - 4.
- C. Stegall, A proof of the principle of local reflexivity. Proc. of Amer. Math. Soc. 78 (1980) 154-156. MR 81e:46012
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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:
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
Posted:
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
Copyright of article:
Copyright
1999,
American Mathematical Society
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