On a Question of Pełczyński about Strictly Singular Operators
Jesús M. F. Castillo ; Marilda Simoes ; Jesús Suárez de la Fuente
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012), p. 27-36 / Harvested from The Polish Digital Mathematics Library
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We exhibit new examples of weakly compact strictly singular operators with dual not strictly cosingular and characterize the weakly compact strictly singular surjections with strictly cosingular adjoint as those having strictly singular bitranspose. We then obtain new examples of super-strictly singular quotient maps and show that the strictly singular quotient maps in Kalton-Peck sequences are not super-strictly singular.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:281280 
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     title = {On a Question of Pe\l czy\'nski about Strictly Singular Operators},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {60},
     year = {2012},
     pages = {27-36},
     zbl = {1244.46002},
     language = {en},
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Jesús M. F. Castillo; Marilda Simoes; Jesús Suárez de la Fuente. On a Question of Pełczyński about Strictly Singular Operators. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012) pp. 27-36. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-1-3/