A note on additive mappings decreasing rank one
Autor: | Ming-Huat Lim |
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Rok vydání: | 2006 |
Předmět: |
Numerical Analysis
Pure mathematics Algebra and Number Theory Tensor products Rank (linear algebra) Banach space Rank-one non-increasing mappings Linear operators Bounded operator Algebra Tensor product Complex space Bounded function Division ring Discrete Mathematics and Combinatorics Geometry and Topology Mathematics Vector space |
Zdroj: | Linear Algebra and its Applications. 414:428-434 |
ISSN: | 0024-3795 |
DOI: | 10.1016/j.laa.2005.10.033 |
Popis: | 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. |
Databáze: | OpenAIRE |
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