On strong variations of Weyl type theorems

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Published Aug 16, 2017

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Jose Sanabria
Departamento de Matematicas, Escuela de Ciencias, Universidad de Oriente, Cumana
Luis Vasquez
Departamento de Matematicas, Escuela de Ciencias, Universidad de Oriente, Cumana
Carlos Carpintero
Departamento de Matematicas, Escuela de Ciencias, Universidad de Oriente, Cumana,
Ennis Rosas
Departamento de Matematicas, Escuela de Ciencias, Universidad de Oriente, Cumana
Orlando Garcia
Departamento de Matematicas, Escuela de Ciencias, Universidad de Oriente, Cumana

Abstract

An operator T acting on a Banach space X satises the property (UWE) if \sigma_a(T) n SF \setminus \sigma{SF_+^-} = E(T), where a(T) is the aproximate point spectrum of T, SF_+^-(T) is the upper semi-Weyl spectrum of T and E(T) is the set of all eigenvalues of T that are isolated in the spectrum \sigma(T) of T. In this paper we introduce and study two new spectral properties, namely (V_E) and (V_{Ea} ), in connection with Weyl type theorems. Among other results, we have that T satises property(VE) if and only if T satises property (UWE) and \sigma (T) = \sigma_a (T).

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How to Cite
Sanabria, J., Vasquez, L., Carpintero, C., Rosas, E., & Garcia, O. (2017). On strong variations of Weyl type theorems. Acta Mathematica Universitatis Comenianae, 86(2), 345-356. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/532/478
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Vol 86 No 2 (2017): AMUC
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