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高校应用数学学报
Applied Mathematics A Journal of Chinese Universities  2020, Vol. 35 Issue (2): 235-244    DOI:
    
Possible point spectra of 3 × 3 partial upper triangular operator matrices
WU Xiu-feng, HUANG Jun-jie
1. School of Math. Sci., Inner Mongolia Normal Univ., Hohhot 010022;
2. School of Math. Sci., Inner Mongolia Univ., Hohhot 010021
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Abstract  According to the denseness and the closedness of range, the point spectrum of a
bounded linear operator is split into four disjoint parts, i.e., four classes of point spectra. For 3 × 3
upper triangular operator matrices, the possible point spectra SD,E,Fσp,i(MD,E,F )(i = 1, 2, 3, 4) are
given by means of the analysis method and block operator technique.

Key words：        partial operator matrix      point spectrum      possible spectrum     
Published: 07 July 2020
CLC:     
  O177.1  
  O177.7  
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WU Xiu-feng
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Cite this article:

WU Xiu-feng, HUANG Jun-jie. Possible point spectra of 3 × 3 partial upper triangular operator matrices. Applied Mathematics A Journal of Chinese Universities, 2020, 35(2): 235-244.

URL:

http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2020/V35/I2/235


缺项3 × 3阶上三角算子矩阵的可能点谱

基于值域的稠密性和闭性, 有界线性算子的点谱可进一步细分为互不相交的
四个组成部分, 即四类点谱. 针对3 × 3阶上三角算子矩阵, 结合分析方法与算子分块技
巧给出了四类点谱的可能谱.

关键词： 缺项算子矩阵,  点谱,  可能谱 
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