On a Question of Pełczyński about Strictly Singular Operators
Volume 60 / 2012
Bulletin Polish Acad. Sci. Math. 60 (2012), 27-36
MSC: Primary 46B20, 46B08; Secondary 46B10.
DOI: 10.4064/ba60-1-3
Abstract
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.
