Proceedings of the American Mathematical Society

Author(s): Darapaneni Narayana
Journal: Proc. Amer. Math. Soc. 134 (2006), 1167-1172.
MSC (2000): Primary 46B20
Posted: October 25, 2005
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Abstract: We characterize finite-dimensional normed linear spaces as strongly proximinal subspaces in all their superspaces. A connection between upper Hausdorff semi-continuity of metric projection and finite dimensionality of subspace is given.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46B20

Darapaneni Narayana
Affiliation: Stat-Math Unit, Indian Statistical Institute, R. V. College P.O., Bangalore 560059, India
Address at time of publication: Department of Mathematics, Indian Institute of Science, Bangalore 560012, India
Email: dnarayana76@hotmail.com, narayana@math.iisc.ernet.in

DOI: 10.1090/S0002-9939-05-08151-7
PII: S 0002-9939(05)08151-7
Keywords: Strongly proximinal subspace, reflexive space, finite-dimensional space.
Received by editor(s): August 2, 2004
Received by editor(s) in revised form: November 11, 2004
Posted: October 25, 2005
Communicated by: Jonathan M. Borwein
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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