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.
On a question of Pełczyński about strictly singular operators / Castillo M. F., Jesus; Simoes, Marilda; Suárez De La, Fuente. - In: BULLETIN OF THE POLISH ACADEMY OF SCIENCES. MATHEMATICS. - ISSN 0239-7269. - STAMPA. - 60:1(2012), pp. 27-36. [10.4064/ba60-1-3]
On a question of Pełczyński about strictly singular operators
SIMOES, Marilda;
2012
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
