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math.FA2016★ 1 cited
On symmetric decompositions of positive operators
Maria Anastasia Jivulescu, Ion Nechita, Pasc Gavruta
Inspired by some problems in Quantum Information Theory, we present some results concerning decompositions of positive operators acting on finite dimensional Hilbert spaces. We foc…
math.FA2011★ 6 cited
The multiplicative property characterizes and norms
Guillaume Aubrun, Ion Nechita
We show that norms are characterized as the unique norms which are both invariant under coordinate permutation and multiplicative with respect to tensor products. Similarl…