Positivity results for determinantal operators
Paul Binding, Patrick J. Browne · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1978
Synopsis Let V rs , s = 1 …, K be Hermitian operators on Hilbert spaces H r , r = 1, …, k . For x = x 1 ⊗…⊗ x k ∊ H 1 ⊗…⊗ H k we define Δ x by the formal determinantal expansion Δ x = ⊗det{ V rs x r }. Δ is extended to all of H by linearity and continuity. The paper presents results concerning positivity properties of Δ on decomposable tensors.