论文标题
不符号的代表绝对达到规范的操作员
A Representation of Hyponormal Absolutely Norm Attaining Operators
论文作者
论文摘要
在本文中,我们根据基本频谱来表征实现正常运营商的绝对规范。稍后,我们证明了一种绝对规范(或简称$ \ MATHCAL {AN} $ - 运算符)的结构定理,并在很短的情况下推断出操作员正态性的条件。
In this article, we characterize absolutely norm attaining normal operators in terms of the essential spectrum. Later we prove a structure theorem for hyponormal absolutely norm attaining (or $\mathcal{AN}$-operators in short) and deduce conditions for the normality of the operator.