Essential approximate point and essential defect spectrum of a sequence of linear operators in Banach spaces

Authors

  • T. Heraiz Department of Mathematics, University of Mohammed Boudiaf of M’sila, M’sila, Algeria
  • A. Ammar Department of Mathematics, University of Sfax, Faculty of Sciences of Sfax, Soukra Road Km 3.5, B. P. 1171, 3000, Sfax
  • A. Jeribi Department of Mathematics, University of Sfax, Faculty of Sciences of Sfax, Soukra Road Km 3.5, B. P. 1171, 3000, Sfax

DOI:

Keywords:

Essential approximate point spectrum, essential defect spectrum, convergence in the generalized sense, convergence to zero compactly

Abstract

This paper is devoted to an investigation of the relationship between the essential approximate point spectrum (respectively, the essential defect spectrum) of a sequ\-ence of closed linear operators $(T_n)_{n\in\mathbb{N}}$ on a Banach space $X$, and the essential approximate point spectrum (respectively, the essential defect spectrum) of a linear operator $T$ on $X$, where $(T_n)_{n\in\mathbb{N}}$ converges to $T$, in the case of convergence in generalized sense as well as in the case of the convergence compactly

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Published

2019-12-25

Issue

Vol. 25 No. 4 (2019)

Section

Articles

How to Cite

Heraiz, T., et al. “Essential Approximate Point and Essential Defect Spectrum of a Sequence of Linear Operators in Banach Spaces”. Methods of Functional Analysis and Topology, vol. 25, no. 4, Dec. 2019, pp. 373-80, https://zen.imath.kiev.ua/index.php/mfat/article/view/739.