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

$\mathbb{Q}$ is not complete, but $\mathbb{R}$ is. ${\mathbb{R}}^n,{\mathbb{C}}^n$ are complete wrt any of the $||\cdot |{|}_p$ norms.

Mentions

Mentions

TABLE file.mday as "Last Modified"
FROM [[]]
 
FLATTEN choice(contains(artist, this.file.link), 1, "") + choice(contains(author, this.file.link), 1, "") + choice(contains(director, this.file.link), 1, "") + choice(contains(source, this.file.link), 1, "") as direct_source
 
WHERE !direct_source
SORT file.mday ASC
SORT file.name ASC

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>
}