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Equicontinuity, Expansivity, and Shadowing for Linear Operators

Lee, Keonhee ; Morales, C.

Axioms, 2018-11, Vol.7 (4), p.84 [Periódico revisado por pares]

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Título:
Equicontinuity, Expansivity, and Shadowing for Linear Operators
Autor: Lee, Keonhee ; Morales, C.
Assuntos: Banach space ; Banach spaces ; equicontinuous ; linear operator ; Linear operators ; shadowable point
É parte de: Axioms, 2018-11, Vol.7 (4), p.84
Descrição: We prove that a linear operator of a complex Banach space has a shadowable point if and only if it has the shadowing property. In addition, every equicontinuous linear operator does not have the shadowing property and its spectrum is contained in the unit circle. Finally, we prove that if a linear operator is expansive and has the shadowing property, then the origin is the only nonwandering point.
Editor: Basel: MDPI AG
Idioma: Inglês

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