caa a22 4500 388091959 CHVBK 20180307125254.0 cr unu---uuuuu 161130e199906 xx s 000 0 eng 10.1017/S000497270003313X doi S000497270003313X pii (NATIONALLICENCE)cambridge-10.1017/S000497270003313X Kawabe Jun Department of Mathematics, Faculty of Engineering Shinshu University 500 Wakasato Nagano 380-8553, Japan e-mail: jkawabe@gipwc.shinshu-u.ac.jp Weak convergence of tensor products of vector measures with values in nuclear spaces [Elektronische Daten] [Jun Kawabe] We study weak convergence of tensor products of vector measures with values in nuclear spaces, such as the space of all rapidly decreasing, infinitely differentiable functions, the space of all test functions, and the strong duals of those spaces. It is shown that the weak convergence of a net of tensor products of vector measures follows from that of the corresponding net of real product measures. Copyright © Australian Mathematical Society 1999 Bulletin of the Australian Mathematical Society Cambridge University Press 59/3(1999-06), 449-458 0004-9727 59:3<449 1999 59 BAZ https://doi.org/10.1017/S000497270003313X text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S000497270003313X text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kawabe Jun Department of Mathematics, Faculty of Engineering Shinshu University 500 Wakasato Nagano 380-8553, Japan e-mail: jkawabe@gipwc.shinshu-u.ac.jp NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 59/3(1999-06), 449-458 0004-9727 59:3<449 1999 59 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge