International Journal of Mathematics and Mathematical Sciences
Volume 5 (1982), Issue 2, Pages 345-349
doi:10.1155/S0161171282000325
The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spaces
Mathematics Department, The University of Mississippi, University, 38677, Mississippi, USA
Received 9 June 1980
Copyright © 1982 William V. Smith. 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.
Abstract
This paper is devoted to a proof of the characterization without duality theory, using strong integrals, while eliminating any assumptions of barrelledness or equicontinuity.