A note on additive mappings decreasing rank one

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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.

Author-supplied keywords

  • Linear operators
  • Rank-one non-increasing mappings
  • Tensor products

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  • Ming Huat Lim

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