Difference between revisions of "Talk:Gâteaux variation"
From Encyclopedia of Mathematics
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Are we assuming that Y is a Hausdorff space? Otherwise the limit might not be unique. | Are we assuming that Y is a Hausdorff space? Otherwise the limit might not be unique. | ||
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| + | :Indeed, according to our "[[Topological vector space]]" article, it is generally not Hausdorff. On the other hand, according to [http://en.wikipedia.org/wiki/Linear_topological_space 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 ("<nowiki>~~~~</nowiki>"). --[[User:Boris Tsirelson|Boris Tsirelson]] 13:26, 28 May 2012 (CEST) | ||
Latest revision as of 11:26, 28 May 2012
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://encyclopediaofmath.org/index.php?title=G%C3%A2teaux_variation&oldid=26939
Gâteaux variation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=G%C3%A2teaux_variation&oldid=26939