Positive element

（重定向自Positive operator）

In mathematics, especially functional analysis, a self-adjoint (or Hermitian) element $A$ of a C*-algebra $\mathcal{A}$ is called positive if its spectrum $\sigma(A)$ consists of non-negative real numbers. Moreover, an element $A$ of a C*-algebra $\mathcal{A}$ is positive if and only if there is some $B$ in $\mathcal{A}$ such that $A = B^* B$ . A positive element is self-adjoint and thus normal.

单词	Positive operator
释义	Positive operator 英语百科 Positive element （重定向自Positive operator） In mathematics, especially functional analysis, a self-adjoint (or Hermitian) element $A$ of a C-algebra $\mathcal{A}$ is called positive if its spectrum $\sigma(A)$ consists of non-negative real numbers. Moreover, an element $A$ of a C-algebra $\mathcal{A}$ is positive if and only if there is some $B$ in $\mathcal{A}$ such that $A = B^* B$ . A positive element is self-adjoint and thus normal.
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