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Almost constrained subspaces of Banach spaces
Author(s):
Pradipta
Bandyopadhyay;
S.
Dutta
Journal:
Proc. Amer. Math. Soc.
132
(2004),
107-115.
MSC (2000):
Primary 46B20
Posted:
July 14, 2003
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Abstract:
In this paper, we obtain some sufficient conditions for an almost constrained subspace to be constrained (in fact, by a unique norm 1 projection), which improves significantly upon all existing conditions of similar type with significantly simpler proofs.
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Additional Information:
Pradipta
Bandyopadhyay
Affiliation:
Statistics and Mathematics Division, Indian Statistical Institute, 203, B. T. Road, Kolkata 700 108, India
Email:
pradipta@isical.ac.in
S.
Dutta
Affiliation:
Statistics and Mathematics Division, Indian Statistical Institute, 203, B. T. Road, Kolkata 700 108, India
Email:
sudipta_r@isical.ac.in
DOI:
10.1090/S0002-9939-03-07146-6
PII:
S 0002-9939(03)07146-6
Keywords:
Finite-infinite intersection property ($IP_{f, \iy}$),
almost constrained ($AC$) subspace,
(weakly) Hahn-Banach smooth,
(weakly) $U$-subspace.
Received by editor(s):
August 9, 2002
Posted:
July 14, 2003
Additional Notes:
This work was partially supported by IFCPAR grant no. 2601-1.
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2003,
American Mathematical Society
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