The General Fubini Theorem in Complete Bornological Locally Convex Spaces (Report‪)‬

1. INTRODUCTION It is well known, in contrast with the scalar case, that the product of two vector measures need not always exist. This problem has been studied in several papers, where some conditions for the existence of the product of vector measures have been given, see [30] for further references. In [27] the problem of the existence of the product measure in the context of locally convex spaces for bilinear integrals is solved in general. The bornological character of the bilinear integration theory presented therein shows the fitness of making a development of bilinear integration theory in the context of the complete bornological locally convex spaces. Note here the paper of Ballve and Jimenez Guerra [2] where we can find a list of reference papers to this problem. Also, see [8, 9, 11, 29] for further reading on product of vector-valued measures.