skele master chat, that is.. I don't want to add your stupid msn, thanks. http://www.sythe.org/member.php?u=252588
http://www.sythe.org/showpost.php?p=6475341&postcount=5 http://sythe.org/showpost.php?p=5794731&postcount=10
Based on your sig, I believe you have information that is of importance to me. PM or Ban. Your choice.
PM sent. Remember that this is top secret information and if anything is exposed, the FBI WILL be in contact.
After reviewing your analysis, I found it to be very abstract. You see: Let X and Y be Banach spaces and T:Y→X be a bounded operator. In this note, we show first some operator versions of the dual relation between q-convexity and p-smoothness of Banach spaces case. Making use of them, we prove then the main result of this note that the two notions of uniform q-convexity and uniform p-smoothness of an operator T introduced by J. Wenzel are actually equivalent to that the corresponding T-modulus δT of convexity and the T-modulus ρT of smoothness introduced by G. Pisier are of power type q and of power type p, respectively. This is also an operator version of a conbination of a Hoffman's theorem and a Figiel-Pisier's theorem. As their application, we show finally that a recent theorem of J. Borwein, A.J. Guirao, P. Hajek and J. Vanderwerff about q-convexity of Banach spaces is again valid for q-convexity of operators.
