Continuous metric projections
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- by Joseph M. Lambert PDF
- Proc. Amer. Math. Soc. 48 (1975), 179-184 Request permission
Abstract:
An example is given of a reflexive, rotund Banach space whose dual space is not Fréchet differentiable such that every metric projection onto closed subspaces is norm continuous. This example shows that several published conjectures on necessary and sufficient conditions for a reflexive, rotund Banach space to have norm continuous metric projections onto all closed subspaces are incorrect.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 179-184
- DOI: https://doi.org/10.1090/S0002-9939-1975-0358186-9
- MathSciNet review: 0358186