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nLab > Latest Changes: Hölder's inequality

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  1.  
    • CommentRowNumber1.
    • CommentAuthorTodd_Trimble
    • CommentTimeApr 4th 2018
    • (edited Apr 5th 2018)

    I added a section to Hölder’s inequality on its relation to log-convex functions

    diff, v7, current

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeDec 27th 2022

    Touched on the fact that the Gamma function is log-convex, and the statement of the Bohr-Mollerup theorem.

    diff, v11, current

    • CommentRowNumber3.
    • CommentAuthorTodd_Trimble
    • CommentTimeDec 27th 2022

    Touched on the fact that the Gamma function is log-convex, and the statement of the Bohr-Mollerup theorem.

    diff, v11, current

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeDec 27th 2022

    (I’m out of practice here, which may account for why I don’t see what it wrong with my itemize environment at the end.)

    diff, v11, current

    • CommentRowNumber5.
    • CommentAuthorTodd_Trimble
    • CommentTimeDec 27th 2022

    (I’m out of practice here, which may account for why I don’t see what it wrong with my itemize environment at the end.)

    diff, v11, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeDec 27th 2022

    Have fixed the item list code:

      * item one

  * next item

  * one more

    also fixed the glitch in the typing of the Gamma-function

    and hyperlinked to Gamma function

    diff, v12, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeDec 27th 2022

    changed “Bohr-Haagerup” to “Bohr-Mollerup”

    diff, v12, current

    • CommentRowNumber8.
    • CommentAuthorTodd_Trimble
    • CommentTimeDec 27th 2022
    Oh, thanks Urs for fixing (and reminding me of) both things.
    • CommentRowNumber9.
    • CommentAuthorDmitri Pavlov
    • CommentTimeDec 27th 2022

    Considerable revisions:

    1. Added a statement of the general Hölder inequality (not just the pairing between L^{1/p} and L^{1/(1-p)}, but also the multiplication map L^{1/p}⊗L^{1/q}→L^{1/(p+q)}.

    2. Briefly discuss the noncommutative case and how it gives rise to the Tomita–Takesaki theory.

    diff, v14, current

1 to 9 of 9

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