STRICTLY SINGULAR PERTURBATION OF ALMOST SEMI-FREDHOLM LINEAR RELATIONS IN NORMED SPACES
Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 211-219

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we introduce the notions of almost upper semi-Fredholm and strictly singular pairs of subspaces and show that the class of almost upper semi-Fredholm pairs of subspaces is stable under strictly singular pairs perturbation. We apply this perturbation result to investigate the stability of almost semi-Fredholm multi-valued linear operators in normed spaces under strictly singular perturbation as well as the behaviour of the index under perturbation.
DOI : 10.1017/S0017089513000189
Mots-clés : 47A06
ÁLVAREZ, T. STRICTLY SINGULAR PERTURBATION OF ALMOST SEMI-FREDHOLM LINEAR RELATIONS IN NORMED SPACES. Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 211-219. doi: 10.1017/S0017089513000189
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