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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

William V. Smith

Mathematics Department, The University of Mississippi, University, 38677, Mississippi, USA

Received 9 June 1980

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.