Projective boundedness and convolution of Fréchet measures

Abstract

Abstract. Fréchet measures of order n (Fn-measures) are the measuretheoretic analogues of bounded n-linear forms on products of C 0 (K) spaces. In an LCA setting, convolution of F 2 -measures is always defined, while there exist F 3 -measures whose convolution cannot be defined. In a three-dimensional setting, we demonstrate the existence of an F 2 -measure which cannot be convolved with arbitrary F 3 -measures.