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Results tagged with banach-spaces
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user 16722
A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
5
votes
1
answer
287
views
Extreme unit linear functional not norming a vector
If $E$ is a non-reflexive Banach space then there exists a linear functional $\lambda \in E^*$ of norm one such that $\lambda v < 1$ for all $v \in E$ of norm one. However, in the only non-reflexive …
- 577
6
votes
2
answers
615
views
Continuous choice of Hahn-Banach extensions
QUESTION RETRACTED - My original argument was fundamentally mistaken (mixing up lower and upper semi-continuity). Sorry (and thanks for the useful comments)
I need, and (unless I am seriously mistak …
- 577