Spectral Mapping Theorem for Rakocevi? and Schmoeger Essential Spectra of a Multivalued Linear Operator

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• 作者：Fai?al Abdmouleh ; Teresa àlvarez ; Aymen Ammar…
• 关键词：47A06 ; Linear relations ; essential spectra ; Fredholm relations ; upper (resp. lower) semi Fredholm relation
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：12
• 期：3
• 页码：1019-1031
• 全文大小：527 KB
• 参考文献：1.T.: Perturbation theorems for upper and lower semi-Fredholm linear relations. Publ. Math. Debrecen 65(1-), 179-91 (2004)MathSciNet MATH
  2.Arens R.: Operational calculus of linear relations. Pac. J.Math. Soc. 11, 9-3 (1961)MathSciNet View Article MATH
  3.Cross, R.W.: Multivalued Linear Operators. Marcel Dekker, New York (1998)
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  6.Jeribi A., Moalla N.: A characterization of some subsets of Schechter’s essential spectrum and application to singular transport equation. J. Math. Anal. Appl. 358(2), 434-44 (2009)MathSciNet View Article MATH
  7.Rakoc?evi?, V.: On one subset of M. Schechter’s essential spectrum. Math. Vesnik 5(18)(33), 389-391 (1981)
  8.Rakoc?evi? V.: Approximate point spectrum and commuting compact perturbations. Glasg. Math. J. 28, 193-98 (1986)View Article MATH
  9.Sandovici A.: Some basic properties of polynomials in a linear relation in linear spaces. Oper. Theory Adv. Appl. 175, 231-40 (2007)MathSciNet View Article
  10.Sandovici A., de Snoo H., Winkler H.: Ascent, descent, nullity, defect and related notions for linear relations in linear spaces. Linear Algebra Appl. 423, 456-97 (2007)MathSciNet View Article
  11.Sandovici A., de Snoo H.: An index formula for the product of linear relations. Linear Algebra Appl. 431, 2160-171 (2009)MathSciNet View Article MATH
  12.Schmoeger C.: The spectral mapping theorem for the essential approximate point spectrum. Coll. Math. 74(2), 167-76 (1997)MathSciNet
  
• 作者单位：Fai?al Abdmouleh (1)
  Teresa àlvarez (2)
  Aymen Ammar (1)
  Aref Jeribi (1)
  
  1. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Route de soukra Km 3.5, B. P. 1171, 3000, Sfax, Tunisia
  2. Department of Mathematics, University of Oviedo, 33007, Oviedo, Asturias, Spain
  
• 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

The purpose of this paper is to investigate a detailed treatment of some subsets of essential spectrum and following we will establish the spectral mapping theorems essential approximate point spectrum and defect spectrum of multivalued linear operator.