# Start a new discussion

## Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

## Discussion Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeOct 23rd 2017

I have added to locally convex topological vector space the standard alternative characterization of continuity of linear functionals by a bound for one of the seminorms: here

(proof and/or more canonical reference should still be added).

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeOct 23rd 2017
• (edited Oct 23rd 2017)

I have added the definition of directed set of seminorms, here, and the fact that we may replace by the system of maxima over finite inhabited subsets of seminorms, here, and the corresponding characterization of continuity, in item 2 here.

I suppose I should add that instead of maxima we may also take sums of seminorms?

• CommentRowNumber3.
• CommentAuthorDavidRoberts
• CommentTimeMay 29th 2018

Added reference to the inductive tensor product and how this makes $lctvs$ into a symmetric closed monoidal category.

• Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
• To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

• (Help)