Some spectral relations of normaloid operators

• Luis Berbesí Grupo de Investigación Regina Scientiarum. Departamento de Física y Matemáticas. Núcleo Universitario Rafael Rangel. Universidad de Los Andes.
• Pedro Peña Universidad de Los Andes.

Keywords: Approximate point spectrum, peripheral spectrum, normalid operators

Abstract

This paper presents some spectral relationships involving the approximate point spectrum, the point spectrum, the compression spectrum and the peripheral spectrum of continuous endomorphisms on Banach spaces. Some properties and examples of spectral relationships of operators in Hilbert spaces are established. Additionally, the relationship between the peripheral spectrum, the injective spectrum and the approximate point spectrum of the normaloid operators is established.

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