summable series

[[concept]]

Summable, Absolutely Summable

Let ${v_{n}}$ be a seq of points in vector space $V$ . The the series $\sum_{n} v_{n}$ is summable if ${\sum_{n = 1}^{m} v_{n}}_{m = 1}^{\infty}$ converges.

The series is absolutely summable if ${\sum_{n = 1}^{m} | | v_{n} | |}_{m = 1}^{\infty}$ converges.

Mentions

File	Last Modified
absolutely summable series have Cauchy partial sums	2025-11-09
banach spaces have all absolutely summable series are summable	2025-11-09
bounded linear operator space is banach	2025-11-09
Functional Analysis Lecture 13	2025-11-09
Functional Analysis Lecture 2	2025-11-09
Functional Analysis Lecture 4	2025-11-09
open mapping theorem	2025-11-09

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>
}