Scientific Publications

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Abstract

The aim of this thesis is to give a detailed analysis of the spectral properties of certain
classes of operators deÖned on various types of Banach spaces. Although di¢ cult and extremely
complicated, the questions that are related are always topical, as the example of West
decomposition of Riesz operators and the classiÖcation of Banach spaces. Here, the characterization
of polynomially Riesz operators was established on a family of spaces called Smyth
Banach spaces, moreover, we give a study of comparison between the maps spectra and Wolf
essential spectra of operators deÖned on a Banach spaces having rich and poor geometries.


BibTex

@phdthesis{uniusa911,
    title={DÈcomposition des opÈrateurs de Riesz et propriÈtÈs spectrales de certaines classes de perturbations dans les espaces de Banach riches et exotiques},
    author={RABAH DEBBAR},
    year={2013},
    school={Freres Mentouri Constantine 1}
}