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Universidad de la Costa, CUC. Calle 58 # 55 - 66. Barranquilla, Colombia. 336 22 00. repositorioredicuc@cuc.edu.co. Corporación Universidad de la Costa.

On the hereditary character of new strong variations of weyl type theorems

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On the hereditary character of new strong variations of weyl type theorems.pdf (902.1Kb)
Date
2019
Author
Carpintero, C.
Malaver, A.
Rosas, E.
Sanabria, J.
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URI: http://hdl.handle.net/11323/3021

Abstract

Berkani and Kachad [18], [19], and Sanabria et al. [32], introduced and studied strong variations of Weyl type Theorems. In this paper, we study the behavior of these strong variations of Weyl type theorems for an operator T on a proper closed and Tinvariant subspace W ⊆ X such that T n (X) ⊆ W for some n ≥ 1, where T ∈ L(X) and X is an infinite-dimensional complex Banach space. The main purpose of this paper is to prove that for these subspaces (which generalize the case T n (X) closed for some n ≥ 0), these strong variations of Weyl type theorems are preserved from T to its restriction on W and vice-versa. As consequence of our results, we give sufficient conditions for which these strong variations of Weyl type Theorems are equivalent for two given operators. Also, some applications to multiplication operators acting on the boundary variation space BV [0, 1] are given.
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Universidad de la Costa, CUC

  • Calle 58 # 55 - 66. Barranquilla, Colombia

  • 336 22 00

  • repositorioredicuc@cuc.edu.co

Corporación Universidad de la Costa CUC, Personería Jurídica con Resolución No. 352 del 23 de abril de 1971 y reconocida como Universidad mediante resolución 3235 del 28 de marzo de 2012 expedida por el MEN. Institución de Educación Superior sujeta a inspección y vigilancia por el Ministerio de Educación Nacional.

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