International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 4, Pages 813-816
doi:10.1155/S0161171285000904
The spaces OM and OC are ultrabornological a new proof
Jan Kučera
Department of Mathematics, Washington State University, Pullman, Washington 99164-2930, USA
Abstract
In [1] Laurent Schwartz introduced the spaces 𝒪M and 𝒪′C of multiplication and convolution operators on temperate distributions. Then in [2] Alexandre Grothendieck used tensor products to prove that both 𝒪M and 𝒪′C are bornological. Our proof of this property is more constructive and based on duality.