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Joint essential numerical spectrum and Jeribi essential numerical spectrum of linear operators in Banach spaces

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The purpose of this paper is to introduce the concept of joint essential numerical spectrum $\sigma_{en}(\cdot)$ of $q$-tuple of operators on a Banach space and to study its properties. This notion generalize the notion of the joint essential numerical range.

Abstract

The purpose of this paper is to introduce the concept of joint essential numerical spectrum $\sigma_{en}(\cdot)$ of $q$-tuple of operators on a Banach space and to study its properties. This notion generalize the notion of the joint essential numerical range.

참고문헌 (22)

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  13. A. Jeribi, "Spectral Theory and Applications of Linear Operators and Block Operator Matrices" (2015), Springer
  14. A. Jeribi, "Perturbation theory for linear operators—denseness and bases with applications" (2021), Springer
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  20. V. M¨uller, "The joint essential numerical range, compact perturbations, and the Olsen problem", Studia Math, 197(3), pp.275~290 (2010)[DOI]
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  22. Y. Yang, "Joint spatial numerical ranges of operators on Banach spaces", Bull. Korean Math. Soc, 26(2), pp.119~126 (1989)

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