A new proof of proximinality for $M$–ideals
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- by V. Indumathi and S. Lalithambigai PDF
- Proc. Amer. Math. Soc. 135 (2007), 1159-1162 Request permission
Abstract:
We give a new and a simple proof of proximinality for $M$-ideals. Unlike the known proofs, our proof derives proximinality of $M$-ideals directly from the definition of an $M$-ideal, using the Bishop-Phelps theorem.References
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Additional Information
- V. Indumathi
- Affiliation: Department of Mathematics, Pondicherry University, Kalapet, Pondicherry–605014, India
- Email: pdyindumath@gmail.com
- S. Lalithambigai
- Affiliation: Department of Mathematics, Pondicherry University, Kalapet, Pondicherry–605014, India
- Email: s_lalithambigai@yahoo.co.in
- Received by editor(s): November 14, 2005
- Published electronically: October 11, 2006
- Additional Notes: The first author was partially supported by DST-NSF project No. DST/INT/US(NSF-RPO-0141)/2003
- Communicated by: Jonathan M. Borwein
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 1159-1162
- MSC (2000): Primary 46B20, 41A50, 41A65
- DOI: https://doi.org/10.1090/S0002-9939-06-08701-6
- MathSciNet review: 2262920