Namespaces
Variants
Actions

Difference between revisions of "User talk:Jjg/scratch"

From Encyclopedia of Mathematics
Jump to: navigation, search
m (added sig)
m (spelling fix)
Line 3: Line 3:
 
* 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 subsript ($x\in X$ becomes $x_k\in X$)
+
* 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There is much in this article which is out of date.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There is much in this article which is out of date.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