Bourbaki

Theorem 4

Tag 0BTI, permanent. Cite it as [Bourbaki, Tag 0BTI].

General Topology, chapter IV, § 7. Infinite sums and products of real numbers

The family (1+ui)(1 + u_i) is multipliable in R∗\mathbf{R}^* if and only if the family (ui)(u_i) is summable in R\mathbf{R}.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

Cites

Nothing.

Transcribed from the printed volume. Not translated.