TY - JOUR
AU - Zbigniew Puchała
AU - Piotr Gawron
AU - Jaroslaw Miszczak
AU - Ł. Skowronek
AU - Man-Duen Choi
AU - Karol Życzkowski
AB - We study operators acting on a tensor product Hilbert space and investigate their product numerical range, product numerical radius and separable numerical range. Concrete bounds for the product numerical range for Hermitian operators are derived. Product numerical range of a non-Hermitian operator forms a subset of the standard numerical range containing the barycenter of the spectrum. While the latter set is convex, the product range needs not to be convex nor simply connected. The product numerical range of a tensor product is equal to the Minkowski product of numerical ranges of individual factors.
BT - Linear Algebra Appl.
LA - eng
M1 - 1
N1 - arXiv:1008.3482 IF=1.005(2010);
N2 - We study operators acting on a tensor product Hilbert space and investigate their product numerical range, product numerical radius and separable numerical range. Concrete bounds for the product numerical range for Hermitian operators are derived. Product numerical range of a non-Hermitian operator forms a subset of the standard numerical range containing the barycenter of the spectrum. While the latter set is convex, the product range needs not to be convex nor simply connected. The product numerical range of a tensor product is equal to the Minkowski product of numerical ranges of individual factors.
PY - 2011
EP - 327–342
T2 - Linear Algebra Appl.
TI - Product numerical range in a space with tensor product structure
VL - 434
SN - 0024-3795
ER -