The history of a general criterium on spaceability

Víctor M. Sánchez. "The history of a general criterium on spaceability." Open Mathematics 15.1 (2017): 252-260. <http://eudml.org/doc/288033>.

@article{VíctorM2017,
abstract = {There are just a few general criteria on spaceability. This survey paper is the history of one of the first ones. Let I1 and I2 be arbitrary operator ideals and E and F be Banach spaces. The spaceability of the set of operators I1(E, F) I2(E, F) is studied. Before stating the criterium, the paper summarizes the main results about lineability and spaceability of differences between particular operator ideals obtained in recent years. They are the seed of the ideas contained in the general criterium.},
author = {Víctor M. Sánchez},
journal = {Open Mathematics},
keywords = {Spaceability; Operator ideal},
language = {eng},
number = {1},
pages = {252-260},
title = {The history of a general criterium on spaceability},
url = {http://eudml.org/doc/288033},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Víctor M. Sánchez
TI - The history of a general criterium on spaceability
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 252
EP - 260
AB - There are just a few general criteria on spaceability. This survey paper is the history of one of the first ones. Let I1 and I2 be arbitrary operator ideals and E and F be Banach spaces. The spaceability of the set of operators I1(E, F) I2(E, F) is studied. Before stating the criterium, the paper summarizes the main results about lineability and spaceability of differences between particular operator ideals obtained in recent years. They are the seed of the ideas contained in the general criterium.
LA - eng
KW - Spaceability; Operator ideal
UR - http://eudml.org/doc/288033
ER -