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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeSep 2nd 2016

At Fréchet space I have added to the Idea-section a paragraph motivating the definition via families of seminorms from the example of $\mathbb{R}^\infty = \underset{\longleftarrow}{\lim}_n \mathbb{R}^n$. And I touched the description of this example in the main text, now here.

• CommentRowNumber2.
• CommentAuthorzskoda
• CommentTimeSep 4th 2016
• (edited Sep 4th 2016)

(Beware that the same symbol “$\mathbb{R}^\infty$” is also used for the corresponding direct sum/injective limit, which is different.)

Also it is used for the same (“projective”) limit but with $\mathbb{R}^n$ being a dicrete space (what leads to a linearly compact vector space). I added redirect linearly compact vector space to linearly compact module.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeOct 18th 2017
• (edited Oct 18th 2017)

I have added the statement (here) that “path smooth” linear functions on a Fréchet space are continuous.

(This sounds like the kind of statement somebody here would already have recorded years back, but I didn’t find it stated in any entry.)

1. adding dollar signs in spots (such as in the definition of the directional derivative, Frechet spaces F, G) where they are missing

cofo