Random vectors inducing absolutely summing operators

Speaker(s)

Vaja Tarieladze

Date

Oct. 5, 2006, 12:15 p.m.

Room

room 5850

Seminar

Seminar of Probability Group

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It will be proved that given a random vector X in a Banach space F such that $E(x*(X)^2)^ \ c (E|x*(X)|)^2 $ for some $c$ and all $x* \in F*$ then the operator $T*:F* \goes L_2(\Omega)$ given by $T*x* = x*(X)$ is 1- absolutely summing.

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