# Using “adjunction” to refer to the act of taking adjoints of operators

I have an especially flabby terminology question.

How acceptable is it, in your opinion, to use the word "adjunction" to refer to the process of taking adjoints of operators on a Hilbert space?

An example of the kind of usage I'm thinking of might look something like

Therefore, the map $T \mapsto TS$ is continuous for each $S$, and continuity of left-multiplication follows by adjunction.

I always find myself wanting to write things like this, but only rarely see it used by other people. Is this terminology deprecated for some reason?

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I would also use it! –  Berci Dec 16 '12 at 1:00
It's absolutely etymologically correct, and it does fill something of a lexical gap. Yet I too have only ever seen the phrase "taking adjoints" in the context you have in mind. –  Branimir Ćaćić Jun 10 '13 at 8:46