TY - JOUR
AU - Martinón, A.
T1 - Note on (m, q)-isometries on an hyperspace of a normed space
LA - eng
PY - 2015
SP - 110
EP - 117
T2 - Annals of Functional Analysis
SN - 2008-8752
VL - 6
IS - 3
PB - Duke University Press
AB - Given a normed space X we consider the hyperspace k(X) of all non-empty compact convex subsets of X endowed with the Hausdorff distance. We prove that if T: X → X is an (m, q)-isometry, then it is possible that the map k(T): k(X)→ k(X), k(T)C := TC, is not an (m, q)-isometry. Moreover, if k(X) is the Rådström space associated to the hyperspace k(X), then T: k(X)→ k(X) is an (m, q)-isometry if and only if T :k(X)→ k(X) is an (m, q)-isometry.
DO - 10.15352/afa/06-3-10
UR - https://portalciencia.ull.es/documentos/5e3c3ada29995246bbf5fd1a
DP - Dialnet - Portal de la Investigación
ER -