


Paper's Title:
qNorms are Really Norms
Author(s):
H. Belbachir, M. Mirzavaziri and M. S. Moslehian
USTHB, Faculté de Mathématiques,
B.P. 32, El Alia, 16111,
Bab Ezzouar, Alger,
Algérie.
hbelbachir@usthb.dz
Department of Mathematics,
Ferdowsi University, P. O. Box 1159,
Mashhad 91775, Iran.
mirzavaziri@math.um.ac.ir
URL: http://www.mirzavaziri.com
Department of Mathematics,
Ferdowsi University,
P. O. Box 1159,
Mashhad 91775, Iran.
moslehian@ferdowsi.um.ac.ir
URL: http://www.um.ac.ir/~moslehian/
Abstract:
Replacing the triangle inequality, in the definition of a norm, by _{}, we introduce the notion of a qnorm. We establish that every qnorm is a norm in the usual sense, and that the converse is true as well.
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