On the uniqueness of extension and unique best approximation in the dual of an asymmetric normed linear space
A well known result of R. R. Phelps (1960) asserts that in order that every linear continuous functional, defined on a subspace \(Y\) of a real normed space \(X\), have a unique norm preserving extension it is necessary and sufficient that its annihilator \(Y^\bot\) be a Chebyshevian subspace of \(X...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2003-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
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| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/747 |