Geometry of Numerical Range of Linear Operator Polynomial

被引：0
|
作者：
Deyu WU [1 ]
Alatancang CHEN [2 ]
机构：
[1] School of Mathematical Sciences,Inner Mongolia University
[2] School of Mathematical Sciences,Inner Mongolia Normal
来源：
Chinese Annals of Mathematics,Series B | 2025年 / 01期
关键词：
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
Abstract Let B（X） be the algebra of all bounded linear operators on a Hilbert space X.Consider an operator polynomial■where Ai∈B（X）,i=0,1,···,m.The numerical range of P （λ） is defined as■The main goal of this paper is to respond to an open problem proposed by professor Li,and determine general conditions on connectivity,convexity and spectral inclusion property of W (P （λ）). They also consider the relationship between operator polynomial numerical range and block numerical range.
引用
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页码：151 / 162
页数：12
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