2×2有界块算子矩阵的本质谱与Weyl谱

数学物理学报 ›› 2019, Vol. 39 ›› Issue (3): 431-440.

2×2有界块算子矩阵的本质谱与Weyl谱

李琳^1,²(),阿拉坦仓^3,*()

¹ 内蒙古大学数学科学学院呼和浩特 010021
² 河套学院数学与计算机系内蒙古巴彦淖尔 015000
³ 呼和浩特民族学院数学系呼和浩特 010051

收稿日期:2018-06-07 出版日期:2019-06-26 发布日期:2019-06-27
通讯作者: 阿拉坦仓 E-mail:lilinneida@126.com;alatanca@sina.com
作者简介:李琳, lilinneida@126.com
基金资助:
国家自然科学基金(11761029);国家自然科学基金(11861048);内蒙古自然科学基金(2016MS0105);河套学院自然科学基金(HYZY201702)

Essential and Weyl Spectra of 2×2 Bounded Block Operator Matrices

Lin Li^1,²(), Alatancang^3,*()

¹ School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021
² Department of Mathematics and Computer, Hetao College, Inner Mongolia Bayannur 015000
³ Department of Mathematics, Hohhot Minzu College, Hohhot 010051

Received:2018-06-07 Online:2019-06-26 Published:2019-06-27
Contact: Alatancang E-mail:lilinneida@126.com;alatanca@sina.com
Supported by:
the NSFC(11761029);the NSFC(11861048);the Natural Science Foundation of Inner Mongolia(2016MS0105);the Natural Science Foundation of Hetao College(HYZY201702)

摘要/Abstract

摘要：

研究了2×2有界块算子矩阵是Fredholm算子、Weyl算子的充要条件；给出了2×2有界块算子矩阵的本质谱、Weyl谱与其子块算子本质谱、Weyl谱的关系.

关键词: 本质谱, Weyl谱, 块算子矩阵

Abstract:

This paper is concerned with the necessary and sufficient conditions that a class of bounded 2×2 block operator matrices are Fredholm operators or Weyl operators. Some necessary and sufficient conditions are given under which the essential spectrum and the Weyl spectrum of the block operator matrix coincide with the essential spectrum and the Weyl spectrum of its entries.

Key words: Essential spectrum, Weyl spectrum, Block operator matrices

中图分类号:

O177.1

李琳,阿拉坦仓. 2×2有界块算子矩阵的本质谱与Weyl谱[J]. 数学物理学报, 2019, 39(3): 431-440.

Lin Li, Alatancang. Essential and Weyl Spectra of 2×2 Bounded Block Operator Matrices[J]. Acta mathematica scientia,Series A, 2019, 39(3): 431-440.

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