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Results tagged with banach-spaces
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user 13093
A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
7
votes
2
answers
2k
views
Baire Category Theorem Application
In Antoine Henrot Michel Pierre -
Variation et optimisation de formes, Une analyse geometrique, a book I'm studying I found an interesting problem. The problem is listed below. The first 3 points of …
- 3,993
1
vote
Are weak and strong convergence of sequences not equivalent?
A remark in H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Chapter 3:
In any infinite dimensional space the weak topology is strictly coarser than the strong t …
- 2,222