Modulus and characteristic of convexity: Difference between revisions

Content deleted Content added
Bdmy (talk | contribs)
Properties: Using Pisier's ref.
Bdmy (talk | contribs)
Notes: Created "See also" with "Uniformly smooth space"
Line 21:
* When ''X'' is uniformly convex, it admits an equivalent norm with power type modulus of convexity.<ref>see {{harvtxt|Pisier|1975}}.</ref> Namely, there exists {{nowrap|''q'' &ge; 2}} and a constant&nbsp;{{nowrap|''c'' &gt; 0}} such that
::<math>\delta(\varepsilon) \ge c \, \varepsilon^q, \quad \varepsilon \in [0, 2].</math>
 
== See also ==
*[[Uniformly smooth space]]
 
==Notes==