ABSTRACT WEYL-TYPE THEOREMS

被引：0
|
作者：
Berkani, Mohammed [1 ]
机构：
[1] Univ Mohammed 1, Dept Math, Fac Sci, Operator Theory Team, Blvd Mohammed 6,BP 524, Oujda 60000, Morocco
来源：
MATHEMATICA BOHEMICA | 2016年 / 141卷 / 04期
关键词：
spectral valued function; partitioning; spectrum; Weyl-type theorem;
D O I：
10.21136/MB.2016.0046-14
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a new approach to the study of Weyl-type theorems. Precisely, we introduce the concepts of spectral valued and spectral partitioning functions. Using two natural order relations on the set of spectral valued functions, we reduce the question of relationship between Weyl-type theorems to the study of the set difference between the parts of the spectrum that are involved. This study solves completely the question of relationship between two spectral valued functions, comparable for one or the other order relation. Then several known results about Weyl-type theorems become corollaries of the results obtained.
引用
收藏
页码：495 / 508
页数：14
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