STRICTLY SINGULAR PERTURBATION OF ALMOST SEMI-FREDHOLM LINEAR RELATIONS IN NORMED SPACES
Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 211-219
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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.
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
@article{10_1017_S0017089513000189,
author = {\'ALVAREZ, T.},
title = {STRICTLY {SINGULAR} {PERTURBATION} {OF} {ALMOST} {SEMI-FREDHOLM} {LINEAR} {RELATIONS} {IN} {NORMED} {SPACES}},
journal = {Glasgow mathematical journal},
pages = {211--219},
year = {2014},
volume = {56},
number = {1},
doi = {10.1017/S0017089513000189},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000189/}
}
TY - JOUR AU - ÁLVAREZ, T. TI - STRICTLY SINGULAR PERTURBATION OF ALMOST SEMI-FREDHOLM LINEAR RELATIONS IN NORMED SPACES JO - Glasgow mathematical journal PY - 2014 SP - 211 EP - 219 VL - 56 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000189/ DO - 10.1017/S0017089513000189 ID - 10_1017_S0017089513000189 ER -
%0 Journal Article %A ÁLVAREZ, T. %T STRICTLY SINGULAR PERTURBATION OF ALMOST SEMI-FREDHOLM LINEAR RELATIONS IN NORMED SPACES %J Glasgow mathematical journal %D 2014 %P 211-219 %V 56 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000189/ %R 10.1017/S0017089513000189 %F 10_1017_S0017089513000189
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