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nLab > Latest Changes: locally convex topological vector space

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    • 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 30th 2018

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

    diff, v23, current

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