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A new proof of proximinality for  -ideals
Author(s):
V.
Indumathi;
S.
Lalithambigai
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1159-1162.
MSC (2000):
Primary 46B20, 41A50, 41A65
Posted:
October 11, 2006
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Abstract:
We give a new and a simple proof of proximinality for  -ideals. Unlike the known proofs, our proof derives proximinality of  -ideals directly from the definition of an  -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
DOI:
10.1090/S0002-9939-06-08701-6
PII:
S 0002-9939(06)08701-6
Keywords:
Proximinal subspace,
$M$-ideal.
Received by editor(s):
November 14, 2005
Posted:
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 of article:
Copyright
2006,
American Mathematical Society
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