AJMAA

The Australian Journal of Mathematical Analysis and Applications

ISSN 1449-5910

AJMAA Paper of the month

Based on our website logs, the most viewed abstract in the last month has been that of one of our editors, Professor M. S. Moslehian, and it is therefore now freely available. q-Norms are Really Norms

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/

Replacing the triangle inequality, in the definition of a norm, by , we introduce the notion of a q-norm. We establish that every q-norm is a norm in the usual sense, and that the converse is true as well.

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