Uniqueness of the norm preserving extension of a linear functional and the differentiability of the norm
碩士 === 國立中山大學 === 應用數學系研究所 === 94 === Let X be a Banach space and Y be a closed subspace of X. Given a bounded linear functional f on Y , the Hahn-Banach theorem guarantees that there exists a linear extension ˜ f 2 X of f which preserves the norm of f. But it does not state that such ˜ f is unique...
| Main Authors: | , |
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| Format: | Others |
| Language: | en_US |
| Published: |
2006
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| Online Access: | http://ndltd.ncl.edu.tw/handle/20530149361068383212 |