Geodesic
CHARACTERIZATIONS OF STRICTLY SINGULAR AND STRICTLY COSINGULAR OPERATORS BY PERTURBATION CLASSES
Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 87-96

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DOI

We consider a class of operators that contains the strictly singular operators and it is contained in the perturbation class of the upper semi-Fredholm operators PΦ+. We show that this class is strictly contained in PΦ+, solving a question of Friedman. We obtain similar results for the strictly cosingular operators and the perturbation class of the lower semi-Fredholm operators PΦ−. We also characterize in terms of PΦ+ and in terms of PΦ−. As a consequence, we show that and are the biggest operator ideals contained in PΦ+ and PΦ−, respectively.
DOI : 10.1017/S0017089511000346
Mots-clés : 47A53 
AIENA, PIETRO; GONZÁLEZ, MANUEL; MARTÍNEZ-ABEJÓN, ANTONIO. CHARACTERIZATIONS OF STRICTLY SINGULAR AND STRICTLY COSINGULAR OPERATORS BY PERTURBATION CLASSES. Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 87-96. doi: 10.1017/S0017089511000346
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     title = {CHARACTERIZATIONS {OF} {STRICTLY} {SINGULAR} {AND} {STRICTLY} {COSINGULAR} {OPERATORS} {BY} {PERTURBATION} {CLASSES}},
     journal = {Glasgow mathematical journal},
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     doi = {10.1017/S0017089511000346},
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