ON HERMITIAN OPERATOR IN TENSOR PRODUCT SPACE

作     者：胡述安 

作者机构：Engineering Institute of Engineer Corps Nanjing China. 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊B辑(英文版))

年 卷 期：1987年第8卷第4期

页      面：428-433页

核心收录：

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

主　　题：Wang ON HERMITIAN OPERATOR IN TENSOR PRODUCT SPACE 一几 OA 

摘      要：V is an n-dim unitary space.（?）kV is the k-th tensor product space with the customaryinduced inner product.（?）∈L(（?）kV),W⊥（?）={(（?）x?,x（?）|x?=x1（?）…（?）xk,x1,…,xko.n}is called the numerical range of （?）.Wang Boying proved in[11]that if （?）=A1（?）…（?）Ak,Ai∈L（V）,i=1,…,k,k⊥（?）(?)*** that if k=n（?）3,then the similar proposition would hold,*** this paper the following results are obtained.1)If k=n≥3,then （?）is a hermitian operator if and only if W⊥（?）(?)R.2)The only exception is k=n=2 andwhere a,b are real.