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Locating subsets of a Hilbert space
Author(s):
Hajime
Ishihara
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1385-1390.
MSC (1991):
Primary 46S30;
Secondary 03F60
Posted:
October 20, 2000
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Abstract:
This paper deals with locatedness of convex subsets in inner product and Hilbert spaces which plays a crucial role in the constructive validity of many important theorems of analysis.
References:
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- 1.
- E. Bishop and D. Bridges, Constructive Analysis, Grundlehren der math. Wiss. 279, Springer-Verlag, Berlin, 1985. MR 87d:03172
- 2.
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- 3.
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- 4.
- D. Bridges and H. Ishihara, Constructive closed range and open mapping theorems, preprint, 1998.
- 5.
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- 10.
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Additional Information:
Hajime
Ishihara
Affiliation:
School of Information Science, Japan Advanced Institute of Science and Technology, Tatsunokuchi, Ishikawa 923-1292, Japan
Email:
ishihara@jaist.ac.jp
DOI:
10.1090/S0002-9939-00-05674-4
PII:
S 0002-9939(00)05674-4
Keywords:
Constructive,
locatedness,
weakly totally boundedness,
convexity
Received by editor(s):
February 26, 1999
Received by editor(s) in revised form:
July 30, 1999
Posted:
October 20, 2000
Additional Notes:
This research was partly supported by a Grant-in-Aid for Scientific Research (C) No.09640253 of the Ministry of Education, Science, Sports and Culture.
Communicated by:
Carl G. Jockusch, Jr.
Copyright of article:
Copyright
2000,
American Mathematical Society
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