Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Locating subsets of a Hilbert space

Author: Hajime Ishihara
Journal: Proc. Amer. Math. Soc. 129 (2001), 1385-1390
MSC (1991): Primary 46S30; Secondary 03F60
Published electronically: October 20, 2000
MathSciNet review: 1712901
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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.

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Hajime Ishihara
Affiliation: School of Information Science, Japan Advanced Institute of Science and Technology, Tatsunokuchi, Ishikawa 923-1292, Japan

Keywords: Constructive, locatedness, weakly totally boundedness, convexity
Received by editor(s): February 26, 1999
Received by editor(s) in revised form: July 30, 1999
Published electronically: 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.
Article copyright: © Copyright 2000 American Mathematical Society