On a Question of Pełczyński about Strictly Singular Operators

• Autorzy: Castillo J. M. F. , Simoes M. , Suárez J.

Identyfikatory

DOI

10.4064/ba60-1-3

• 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.

Słowa kluczowe

EN

strictly singular operator; strictly co-singular operator; weakly compact operator; Kalton–Peck sequences

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: Vol. 60, no 1
• Strony: 27--36
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Castillo J. M. F.

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

autor

Simoes M.

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

autor

Suárez J.

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

Bibliografia

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