International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 4, Pages 813-816
The spaces and are ultrabornological a new proof
Department of Mathematics, Washington State University, Pullman, Washington 99164-2930, USA
Received 28 February 1985
Copyright © 1985 Jan Kucera. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In  Laurent Schwartz introduced the spaces and of multiplication and convolution operators on temperate distributions. Then in  Alexandre Grothendieck used tensor products to prove that both and are bornological. Our proof of this property is more constructive and based on duality.