On Marcus-Wang Conjecture

作     者：胡述安 

作者机构：Nanjing University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期：1987年第3卷第4期

页      面：301-304页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：this Wang On Marcus-Wang Conjecture 

摘      要：Let A;,B;,m=1,…,p,be linear operators on an n-dimensional unitary space V.L= A;Bm is a linear operator on;V,the tensor product space with the customarily induced *** numerical range of L is defined asW1/2（L）={（L）xy,xy):x,y o.n.},where o.n. means orthonormal.In [1],*** and *** conjecture:There exists no non-zerooperator L of minimum length less than n for which W1/2（L）=*** this paper,we prove that this conjectureis true.