Quasi-linear maps

D. J. Grubb. "Quasi-linear maps." Fundamenta Mathematicae 198.1 (2008): 1-15. <http://eudml.org/doc/282813>.

@article{D2008,
abstract = {A quasi-linear map from a continuous function space C(X) is one which is linear on each singly generated subalgebra. We show that the collection of quasi-linear functionals has a Banach space pre-dual with a natural order. We then investigate quasi-linear maps between two continuous function spaces, classifying them in terms of generalized image transformations.},
author = {D. J. Grubb},
journal = {Fundamenta Mathematicae},
keywords = {quasi-linear functionals; quasi-linear maps; continuous function spaces},
language = {eng},
number = {1},
pages = {1-15},
title = {Quasi-linear maps},
url = {http://eudml.org/doc/282813},
volume = {198},
year = {2008},
}

TY - JOUR
AU - D. J. Grubb
TI - Quasi-linear maps
JO - Fundamenta Mathematicae
PY - 2008
VL - 198
IS - 1
SP - 1
EP - 15
AB - A quasi-linear map from a continuous function space C(X) is one which is linear on each singly generated subalgebra. We show that the collection of quasi-linear functionals has a Banach space pre-dual with a natural order. We then investigate quasi-linear maps between two continuous function spaces, classifying them in terms of generalized image transformations.
LA - eng
KW - quasi-linear functionals; quasi-linear maps; continuous function spaces
UR - http://eudml.org/doc/282813
ER -