Re: Pontryagin duality (again)

Timothy Murphy wrote:
Denis Feldmann wrote:

And you didn't answer my question (as for linguistic, see
"normative vs. descriptive").

As far as I can see, the only question you asked me was this:
------------------------------------
The "reference" for what is and
what is not standard mathematical English is the body
of mathematics written in English.
That's a very silly definition of good English usage,
whether in mathematics or anywhere else.

Of "good" usage, perhaps, but of (correct) usage, what other definiton
would you like?
------------------------------------

My answer would be: an accepted authority on mathematical usage,
such as Bourbaki.
[...]

In French, the area "Boolean algebra" is translated as
"l'algebre booleenne" or "l'algebre de Boole".
For some object that is "a Boolean algebra", it would be:
"une algebre de Boole".

The usage "Banach algebra had its beginnings in [etc.]" would be
translated as: "L'algebre de Banach a eue ses debuts [etc.] ".

Personally, I would say or write: "une algebre de Banach
est par definition un espace de Banach reel ou complexe
muni d'une structure d'anneau tel que [etc.]",

but not: "Gelfand a fait des travaux importants
dans le domaine de l'algebre de Banach."

There is too much by Bourbaki for me to know whether
"he" writes like that or not.

David Bernier
.

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