Weyl-type theorems for hypercyclic and supercyclic operators

S-Weyl's theorem is a stronger variant of the classical Weyl's theorem for operators defined on Banach spaces. In this paper, we explore this variant in the case of hypercyclic or supercyclic operators on Banach spaces. Several applications are given for some classes of operators.

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Publication Details

Journal
Linear and Multilinear Algebra
Published
2025-08-25
DOI
https://doi.org/10.1080/03081087.2025.2539339
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Weyl-type theorems for hypercyclic and supercyclic operators

Fabio Burderi, Pietro Aiena, Salvatore Triolo
Linear and Multilinear Algebra
Holomorphic and Operator Theory
article

Weyl-type theorems for hypercyclic and supercyclic operators

Fabio Burderi, Pietro Aiena, Salvatore Triolo
article en

Abstract

S-Weyl's theorem is a stronger variant of the classical Weyl's theorem for operators defined on Banach spaces. In this paper, we explore this variant in the case of hypercyclic or supercyclic operators on Banach spaces. Several applications are given for some classes of operators.

Linear and Multilinear AlgebraVol. 73(14)
University of Palermo (IT)
Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Palermo
Openalex Percentile: Top 68%
Holomorphic and Operator Theory
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