Additive preserving rank one maps on Hilbert $C^\ast$-modules

Details Additive preserving rank one maps on Hilbert $C^\ast$-modules Additive preserving rank one maps on Hilbert $C^\ast$-modules

2007-05-04

arxiv.org/abs/0705.0640v1

Mathematics

Operator Algebras

9 pages

Scientific paper

In this paper, we characterize a class of additive maps on Hilbert
$C^\ast$-modules which maps a "rank one" adjointable operators to another rank
one operators.

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