On a Question of Pełczyński about Strictly Singular Operators

Jesús M. F. Castillo, Marilda Simoes, and Jesús Suárez de la Fuente. "On a Question of Pełczyński about Strictly Singular Operators." Bulletin of the Polish Academy of Sciences. Mathematics 60.1 (2012): 27-36. <http://eudml.org/doc/281280>.

@article{JesúsM2012,
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.},
author = {Jesús M. F. Castillo, Marilda Simoes, Jesús Suárez de la Fuente},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {strictly singular operator; strictly co-singular operator; weakly compact operator; Kalton-Peck sequences},
language = {eng},
number = {1},
pages = {27-36},
title = {On a Question of Pełczyński about Strictly Singular Operators},
url = {http://eudml.org/doc/281280},
volume = {60},
year = {2012},
}

TY - JOUR
AU - Jesús M. F. Castillo
AU - Marilda Simoes
AU - Jesús Suárez de la Fuente
TI - On a Question of Pełczyński about Strictly Singular Operators
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2012
VL - 60
IS - 1
SP - 27
EP - 36
AB - 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.
LA - eng
KW - strictly singular operator; strictly co-singular operator; weakly compact operator; Kalton-Peck sequences
UR - http://eudml.org/doc/281280
ER -