Definition 3

Tag 032N, permanent. Cite it as [Bourbaki, Tag 032N].

Théories spectrales, chapter IV, § 4. Opérateurs partiels

Let E and F be topological vector spaces over K. Let $u$ be a closable operator of E into F. The closed operator whose graph is $\Gamma_u$ is called the closure of $u$ . It is denoted by $\overline{u}$ .

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

Nothing.