Difference between revisions of "User talk:Jjg/scratch"
From Encyclopedia of Mathematics
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* in the definition of the quotient norm : added missing subscript to LHS ($Y$ becomes $Y_1$) | * in the definition of the quotient norm : added missing subscript to LHS ($Y$ becomes $Y_1$) | ||
* in relationship relating the convexity modulus of a Banach space $X$ and the smoothness modulus of $X^*$ : replaced $\epsilon(\tau)$ by $\epsilon\tau$, since the former suggests a non-existent functional dependance (see, for example, Lemma 9.8 of Banach Space Theory: The Basis for Linear and Nonlinear Analysis By Marián Fabian, Petr Habala, Petr Hajek, Vicente Montesinos, Václav Zizler. | * in relationship relating the convexity modulus of a Banach space $X$ and the smoothness modulus of $X^*$ : replaced $\epsilon(\tau)$ by $\epsilon\tau$, since the former suggests a non-existent functional dependance (see, for example, Lemma 9.8 of Banach Space Theory: The Basis for Linear and Nonlinear Analysis By Marián Fabian, Petr Habala, Petr Hajek, Vicente Montesinos, Václav Zizler. | ||
| − | * in equation (*) : added missing | + | * in equation (*) : added missing subscript ($x\in X$ becomes $x_k\in X$) |
There is much in this article which is out of date. Most of the open questions mentioned are no longer open (mostly due to Gowers) but I leave it to a Banach-space expert to make the required modifications. | There is much in this article which is out of date. Most of the open questions mentioned are no longer open (mostly due to Gowers) but I leave it to a Banach-space expert to make the required modifications. | ||
--[[User:Jjg|Jjg]] 01:31, 19 April 2012 (CEST) | --[[User:Jjg|Jjg]] 01:31, 19 April 2012 (CEST) | ||
Revision as of 08:37, 19 April 2012
Modifications made during TeXing
- in the definition of the quotient norm : added missing subscript to LHS ($Y$ becomes $Y_1$)
- in relationship relating the convexity modulus of a Banach space $X$ and the smoothness modulus of $X^*$ : replaced $\epsilon(\tau)$ by $\epsilon\tau$, since the former suggests a non-existent functional dependance (see, for example, Lemma 9.8 of Banach Space Theory: The Basis for Linear and Nonlinear Analysis By Marián Fabian, Petr Habala, Petr Hajek, Vicente Montesinos, Václav Zizler.
- in equation (*) : added missing subscript ($x\in X$ becomes $x_k\in X$)
There is much in this article which is out of date. Most of the open questions mentioned are no longer open (mostly due to Gowers) but I leave it to a Banach-space expert to make the required modifications.
--Jjg 01:31, 19 April 2012 (CEST)
How to Cite This Entry:
Jjg/scratch. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Jjg/scratch&oldid=24775
Jjg/scratch. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Jjg/scratch&oldid=24775