We formulate and prove a log-algebraicity theorem for arbitrary rank Drinfeld modules de ned over the polynomial ring Fq[\theta]. This generalizes results of Anderson for the
rank one case. As an application we show that certain special values of Goss L-functions are linear forms in Drinfeld logarithms and are transcendental.
Let 1 p+. We show that the positive part of the closed unit ball of a non-commutative L p-space, as a metric space, is a complete Jordan-invariant for the underlying von Neumann algebra.