ELA, Volume 7, pp. 73-91, August 2000, abstract.
                                               
Generalized Numerical Ranges of Permanental Compounds
Arising From Quantum Systems of Bosons

Natalia Bebiano, Chi-Kwong Li, and  Joao da Providencia

Generalized numerical ranges of permanental compounds arising 
from quantum systems of bosons are investigated. Geometrical 
properties are studied and their physical interpretations are 
given. Linear preservers are characterized. The permanental 
ranges associated with derivatives are also discussed.