Pseudospectra and Essential Pseudospectra of Multivalued Linear Relations

详细信息    查看全文

• 作者：Aymen Ammar ; Houcem Daoud ; Aref Jeribi
• 关键词：47A06 ; 47A13 ; 47A53 ; Linear relation ; pseudospectra ; essential pseudospectra ; Fredholm and semi ; Fredholm relation
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2015
• 出版时间：November 2015
• 年：2015
• 卷：12
• 期：4
• 页码：1377-1395
• 全文大小：554 KB
• 参考文献：1.Abdmouleh, F., 脕lvarez, T., Jeribi A.: On a characterization of the essential spectra of a linear relation (2014) (preprint)
  2.脕lvarez T.: On almost semi-Fredholm linear relations in normed spaces. Glasg. Math. J. 47(1), 187鈥?93 (2005)MATH MathSciNet CrossRef
  3.脕lvarez T.: Linear relations on hereditarily indecomposable normed spaces. Bull. Aust. Math. Soc. 84(1), 49鈥?2 (2011)MATH MathSciNet
  4.脕lvarez T., Cross R.W., Wilcox D.: Multivalued Fredholm type operators with abstract generalised inverses. J. Math. Anal. Appl. 261(1), 403鈥?17 (2001)MATH MathSciNet CrossRef
  5.脕lvarez T., Ammar A., Jeribi A.: On the essential spectra of some matrix of linear relations. Math. Methods Appl. Sci. 37(5), 620鈥?44 (2014)MATH MathSciNet CrossRef
  6.Ammar A., Jeribi A.: A characterization of the essential pseudospectra on a Banach space. Arab. J. Math. 2, 139鈥?45 (2013)MATH MathSciNet CrossRef
  7.Ammar A., Jeribi A.: A characterization of the essential pseudospectra and application to a transport equation. Extra Math. 28, 95鈥?12 (2013)MATH MathSciNet
  8.Ammar A., Jeribi A.: Measures of noncompactness and essential pseudospectra on Banach space. Math. Methods Appl. Sci. 37(3), 447鈥?52 (2014)MATH MathSciNet CrossRef
  9.Aubin J.P., Frankowska H.: Set-Valued Analysis. Birkhausser, Boston (1990)MATH
  10.Cross R.W.: Multivalued Linear Operators. Marcel Dekker, New York (1998)MATH
  11.Davies E.B.: Linear operators and their spectra. In: Cambridge Studies in Advanced Mathematics., Cambridge University Press, Cambridge (2007)
  12.Favini, A., Yagi, A.: Multivalued linear operators and degenerate evolution equations. Annal. Mat. Pura Appl. 353鈥?84 (1993)
  13.Hinrichsen D., Pritchard A.J.: Robust stability of linear operators on Banach spaces. J. Cont. Opt. 32, 1503鈥?541 (1994)MATH MathSciNet CrossRef
  14.Klein, E., Thompson, A.C.: Theory of correspondences. Including applications to mathematical economics. In: Canadian Mathematical Society Series of Monographs and Advanced Texts. A Wiley-Interscience Publication. Wiley, New York (1984)
  15.Landau H.J.: On Szego鈥檚 eigenvalue distribution theorem and non-Hermitian kernels. J. Anal. Math. 28, 335鈥?57 (1975)MATH CrossRef
  16.Von Neumann J.: Uber adjungierte Funktional-operator en. Ann. Math. 33, 294鈥?10 (1932)MATH MathSciNet CrossRef
  17.Shechter M.: Spectra of Partial Differential Operators. North-Holland, Amsterdam (1986)
  18.Trefethen, L.N.: Pseudospectra of matrices. Numerical analysis 1991 (Dundee, 1991), pp. 234鈥?66. In: Pitman Research Notes in Mathematics Series, vol. 260. Longman Science and Technology, Harlow (1992)
  19.Varah, J.M.: The computation of bounds for the invariant subspaces of a general matrix operator. Ph.D. Thesis, Stanford University. ProQuest LLC, Ann Arbor (1967)
  
• 作者单位：Aymen Ammar (1)
  Houcem Daoud (1)
  Aref Jeribi (1)
  
  1. D茅partement de Math茅matiques, Facult茅 des sciences de Sfax, Universit茅 de Sfax, Route de soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1660-5454

文摘

In this paper, we introduce and study the pseudospectra and the essential pseudospectra of linear relations. We start by giving the definition and we investigate the characterization and some properties of these pseudospectra. Mathematics Subject Classification 47A06 47A13 47A53