Perturbation of normally solvable linear relations in paracomplete spaces |
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Authors: | Ezzeddine Chafai Maher Mnif |
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Institution: | Département de Mathématiques, Faculté des Sciences de Sfax, Université de Sfax, Route de Soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisia |
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Abstract: | In this paper we investigate the stability of the index, the nullity and the deficiency of normally solvable linear relations in paracomplete spaces under perturbation by strictly singular and T-strictly singular linear relations. This study led us to generalize some well-known results for operators and extend some results of small perturbation of normally solvable linear relations given by T. Alvarez (2012) 3]. |
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Keywords: | Perturbation Normally solvable linear relations Paracomplete spaces |
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