Some properties of upper triangular \(3\times 3\) -block matrices of linear relations

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• 作者：Aymen Ammar ; Mohammed Zerai Dhahri…
• 关键词：Upper triangular $$3\times 3$$ 3 脳 3 ; block matrices ; Semi ; Fredholm linear relation ; Essential spectra ; 47A06
• 刊名：Bollettino dell'Unione Matematica Italiana
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：8
• 期：3
• 页码：189-204
• 全文大小：461 KB
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• 作者单位：Aymen Ammar (1)
  Mohammed Zerai Dhahri (2)
  Aref Jeribi (1)
  
  1. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Soukra Road Km 3.5, B. P. 1171, 3000, Sfax, Tunisia
  2. Department of Mathematics, University of Monastir Preparatory Institute for Engineering Studies of Monastir, Road Ibn El Jazzar, 5000, Monastir, Tunisia
  
• 刊物类别：Mathematics, general;
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：2198-2759

文摘

In this paper, we define the upper triangular \(3\times 3\)-block matrices in the form, $$\begin{aligned} \mathcal { M}_{C}=\left( \begin{array}{ccc} A_{1}&{}\quad B &{}\quad C \\ 0 &{}\quad A_{2} &{}\quad D \\ 0 &{}\quad 0 &{}\quad A_{3} \\ \end{array} \right) . \end{aligned}$$