I think I found out how to do this. Are my steps right?
Let x be an element in the kernel of T. Since TT*x = T*Tx = T*0=0, (TT*x,x) = 0 where (,) indicates the inner product.
Then, (TT*x,x) = (T*x,T*x) = ||T*x||^2 = 0 so T*x = 0 and x is in the kernel of T*. The other way can be done similarly.
BTW, what does "x*" indicate in x*(T*T)x? I don't understand...
若能收集到该词条相关资料的跟帖者给予奖励,根据收集资料的水平给予10~200不等的论坛币,当然也可以谈谈自己的观点、其应用领域、上传资料、相关软件介绍等等,请大家尽量不要复制一些搜索引擎很容易收集到的资料。
我每天都会发送不等数量的词条,所以诚邀不同统计背景的各路大侠发表评论。
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