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| On Hermitian Operator in Tensor Product Space |
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Citation： |
Hu Shuan.On Hermitian Operator in Tensor Product Space[J].Chinese Annals of Mathematics B,1987,8(4):428~433 |
| Page view： 906
Net amount： 849 |
Authors： |
Hu Shuan; |
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| Abstract： |
V is an n-dim unitary space. \bigotimes ^kV is the k-th tensor product space with the customary induced inner product. \forall \phi \in L(\bigotimes ^k V),
W^\bot(\phi)={(\phi x^\bigotimes,x^\bigotimes)|x^\bigotimes=x_1\bigotimes\cdots\bigotimes x_k,x_1,\cdots,\cdots,x_k o.n}
is called the numerical range of \phi. Wang Boying proved in [11] that if if $\phi=A_1\bigotimes\cdots\bigotimes A_k,A_i\in L(V),i=1,\cdots,k,k |
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