On a Question of Pełczyński about Strictly Singular Operators

• Autorzy: Jesús M. F. Castillo , Marilda Simoes , Jesús Suárez de la Fuente
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B10: Duality and reflexivity
• 46B08: Ultraproduct techniques in Banach space theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: 60
• Numer: 1
• Strony: 27-36

Daty

wydano

2012

Twórcy

autor

Jesús M. F. Castillo

• Departamento de Matemáticas, Universidad de Extremadura, Avda de Elvas s/n, 06071 Badajoz, Spain

autor

Marilda Simoes

• Dipartimento di Matematica, Università di Roma I, La Sapienza, Roma, Italy

autor

Jesús Suárez de la Fuente

• Escuela Politécnica, Universidad de Extremadura, Avenida de la Universidad s/n, 10071 Cáceres, Spain

Identyfikatory

DOI

10.4064/ba60-1-3