# Talk:Gâteaux variation

From Encyclopedia of Mathematics

Are we assuming that Y is a Hausdorff space? Otherwise the limit might not be unique.

- Indeed, according to our "Topological vector space" article, it is generally not Hausdorff. On the other hand, according to Wikipedia, "Some authors (e.g., Rudin) require the topology on X to be T0; it then follows that the space is Hausdorff, and even T3½".
- P.S. Do not forget to sign your remarks by four tildas ("~~~~"). --Boris Tsirelson 13:26, 28 May 2012 (CEST)

**How to Cite This Entry:**

Gâteaux variation.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=G%C3%A2teaux_variation&oldid=26939