Positivity results for determinantal operators-Reference-Cited by-同舟云学术

Positivity results for determinantal operators

Published:1978 Issue:3-4 Volume:81 Page:267-271
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Binding Paul,Browne Patrick J.

Abstract

SynopsisLet Vrs, s = 1 …, K be Hermitian operators on Hilbert spaces Hr, r = 1, …, k. For x = x1⊗…⊗xk ∊ H1⊗…⊗Hk we define Δx by the formal determinantal expansion Δx = ⊗det{Vrsxr}. Δ is extended to all of H by linearity and continuity. The paper presents results concerning positivity properties of Δ on decomposable tensors.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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