Linearization and compactness

Jesús Ángel Jaramillo, Ángeles Prieto, and Ignacio Zalduendo. "Linearization and compactness." Studia Mathematica 191.2 (2009): 181-200. <http://eudml.org/doc/285178>.

@article{JesúsÁngelJaramillo2009,
abstract = {This paper is devoted to several questions concerning linearizations of function spaces. We first consider the relation between linearizations of a given space when it is viewed as a function space over different domains. Then we study the problem of characterizing when a Banach function space admits a Banach linearization in a natural way. Finally, we consider the relevance of compactness properties in linearizations, more precisely, the relation between different compactness properties of a mapping, and compactness of its associated linear operator.},
author = {Jesús Ángel Jaramillo, Ángeles Prieto, Ignacio Zalduendo},
journal = {Studia Mathematica},
keywords = {linearizations; Banach linearization; factorization of compact mappings},
language = {eng},
number = {2},
pages = {181-200},
title = {Linearization and compactness},
url = {http://eudml.org/doc/285178},
volume = {191},
year = {2009},
}

TY - JOUR
AU - Jesús Ángel Jaramillo
AU - Ángeles Prieto
AU - Ignacio Zalduendo
TI - Linearization and compactness
JO - Studia Mathematica
PY - 2009
VL - 191
IS - 2
SP - 181
EP - 200
AB - This paper is devoted to several questions concerning linearizations of function spaces. We first consider the relation between linearizations of a given space when it is viewed as a function space over different domains. Then we study the problem of characterizing when a Banach function space admits a Banach linearization in a natural way. Finally, we consider the relevance of compactness properties in linearizations, more precisely, the relation between different compactness properties of a mapping, and compactness of its associated linear operator.
LA - eng
KW - linearizations; Banach linearization; factorization of compact mappings
UR - http://eudml.org/doc/285178
ER -