Operateurs essentiellement reguliers dans les espaces de Banach |
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Authors: | M Berkani A Ouahab |
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Institution: | 1. Faculté des Sciences Département de Mathematiques Oujda, Université Mohammed I, Maroc
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Abstract: | Given a closed operatorA acting in a Banach spaceX, we define the regular (respectively the essentialy regular) spectrum σ r (A) (respectively σ e,r (A)) ofA. We prove that σ r (A) and σ e,r (A) are a closed subsets of the classical spectrum σ(A) ofA. Morever ifA is bounded we prove that σ r (A) and σ e,r (A)) satisfies the spectral mapping theorem. |
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