Kuzma characterized additive mappings on the space of all finite rank bounded linear operators on a real or complex Banach space that decreases operators of rank one. In this note, we give a short proof of his result in a slightly more general setting of the tensor product of a right and a left vector space over a division ring. © 2005 Elsevier Inc. All rights reserved.
Lim, M. H. (2006). A note on additive mappings decreasing rank one. Linear Algebra and Its Applications, 414(2–3), 428–434. https://doi.org/10.1016/j.laa.2005.10.033