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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2006, Volume 6, Issue 4, Pages 98–105
(Mi vngu249)
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SemiFredholm linear relations in operator rangles
T. Álvarez Department of Mathematics, University of Oviedo,
33007 Oviedo, SPAIN
Abstract:
The stability of semiFredholm operators under strictly singular or small perturbation in Banach spaces were studied by several authors $[9, 14, 16, 18],\dots$. The main purpose of this paper is to study this problem for semiFredholm linear relations in operator ranges. We also give properties of adjoints of semiFredholm linear relations. Examples are exhibited proving that these results are not valid in arbitrary normed spaces.
Received: 30.01.2006
Citation:
T. Álvarez, “SemiFredholm linear relations in operator rangles”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 6:4 (2006), 98–105
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https://www.mathnet.ru/eng/vngu249 https://www.mathnet.ru/eng/vngu/v6/i4/p98
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Abstract page: | 91 | Full-text PDF : | 64 | References: | 31 | First page: | 1 |
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