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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Almost constrained subspaces of Banach spaces
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by Pradipta Bandyopadhyay and S. Dutta PDF
Proc. Amer. Math. Soc. 132 (2004), 107-115 Request permission

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
  • Received by editor(s): August 9, 2002
  • Published electronically: July 14, 2003
  • Additional Notes: This work was partially supported by IFCPAR grant no. 2601-1.
  • Communicated by: Jonathan M. Borwein
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 107-115
  • MSC (2000): Primary 46B20
  • DOI: https://doi.org/10.1090/S0002-9939-03-07146-6
  • MathSciNet review: 2021253