TY - JOUR
T1 - On the norms of quaternionic extensions of real and complex linear mappings
AU - Alpay, Daniel
AU - Luna-Elizarrarás, M. Elena
AU - Shapiro, Michael
PY - 2007/6
Y1 - 2007/6
N2 - We study the connections between the norms of bounded operators on real and complex normed spaces, and with range in quaternionic spaces, and of their quaternionic extensions. We study some aspects of the relations between the quaternionization and the complexification of an inner product real space. The problems that arise when /t-linear mappings are defined for the quaternionic case, are considered too.
AB - We study the connections between the norms of bounded operators on real and complex normed spaces, and with range in quaternionic spaces, and of their quaternionic extensions. We study some aspects of the relations between the quaternionization and the complexification of an inner product real space. The problems that arise when /t-linear mappings are defined for the quaternionic case, are considered too.
KW - Norms of quaternionic extensions
KW - Quaternionic linear operators
UR - http://www.scopus.com/inward/record.url?scp=34249330264&partnerID=8YFLogxK
U2 - 10.1002/mma.822
DO - 10.1002/mma.822
M3 - Artículo
AN - SCOPUS:34249330264
SN - 0170-4214
VL - 30
SP - 1005
EP - 1036
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
IS - 9
ER -