TY - JOUR
AU - Dahia, Elhadj
AU - Hamidi, Khaled
PY - 2021/10/01
Y2 - 2024/08/04
TI - Lipschitz integral operators represented by vector measures
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 22
IS - 2
SE -
DO - 10.4995/agt.2021.15061
UR - https://polipapers.upv.es/index.php/AGT/article/view/15061
SP - 367-383
AB - <p>In this paper we introduce the concept of Lipschitz Pietsch-p-integral <br />mappings, (1≤p≤âˆž), between a metric space and a Banach space. We represent these mappings by an integral with respect to a vector<br />measure defined on a suitable compact Hausdorff space, obtaining in this way a rich factorization theory through the classical Banach spaces C(K), L_p(μ,K) and L_âˆž(μ,K). Also we show that this type of operators fits in the theory of composition Banach Lipschitz operator ideals. For p=âˆž, we characterize the Lipschitz Pietsch-âˆž-integral mappings by a factorization schema through a weakly compact operator. Finally, the relationship between these mappings and some well known Lipschitz operators is given.</p>
ER -