摘要
在抽象的Ｈｅｉｓｅｎｂｅｒｇ不等式中，交换于「Ａ，Ｂ」可能不是闭的或其定义也许太小，通过改变「Ａ，Ｂ」的定义及某种弱下的形式，对某一类自共轭算子给出了一个充分条件，使在该条件下「Ａ，Ｂ」的作用可用一个自共轭算代替，与比较，该条件更容易验证。
In abstract Heisenberg's inequality (see~[2]),the commutator [A,B] may have too small adomain and be not closed. By changing the usual definition of commutator into that in a kind of weak sense,this paper gives a sufficient condition,which is more convenient than and completely different from that in [4],for some class of self-adjoint operators to avoid these shortcomings.
出处
《数学杂志》
CSCD
2000年第1期1-7,共7页
Journal of Mathematics
基金
Supported by the Tian-Yuan Math Foundation of CNNSF
The Hua-Chen Math. Foundation.
关键词
交换子
自共轭扩张
H不等式
自共轭算子
commutator
Heisenberg's inequality
μ-weakly continuous
self-adjoint extension.
