Banach space
[[concept]]
Banach Space
A normed space is a Banach space if it is complete with respect to the metric induced by the norm.
ie, Cauchy sequences in the space converge in the space.
Example
Mentions
Mentions
| File | Last Modified |
|---|---|
| banach spaces have all absolutely summable series are summable | 2025-10-02 |
| bijective bounded linear operators have bounded linear inverses | 2025-10-02 |
| bounded linear operator space is banach | 2025-10-02 |
| closed graph theorem | 2025-10-02 |
| closed subspaces of banach spaces are banach | 2025-10-02 |
| complete metric spaces have banach continuous bounded function spaces | 2025-10-02 |
| Functional Analysis Lecture 1 | 2025-10-02 |
| Functional Analysis Lecture 11 | 2025-10-02 |
| Functional Analysis Lecture 13 | 2025-10-02 |
| Functional Analysis Lecture 2 | 2025-10-02 |
| Functional Analysis Lecture 3 | 2025-10-02 |
| Functional Analysis Lecture 4 | 2025-10-02 |
| Functional Analysis Lecture 6 | 2025-10-02 |
| Lecture 23 | 2025-08-17 |
| open mapping theorem | 2025-10-02 |
| reflexive banach space | 2025-10-02 |
| the cartesian product of banach spaces is banach | 2025-10-02 |
| uniform boundedness theorem | 2025-10-02 |
const { dateTime } = await cJS()
return function View() {
const file = dc.useCurrentFile();
return <p class="dv-modified">Created {dateTime.getCreated(file)} ֍ Last Modified {dateTime.getLastMod(file)}</p>
}