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• 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

• 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.

• 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.

• 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.)

• 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.)

• 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

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeDec 27th 2022

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

• 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.

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