TY - JOUR
ID - 22852
TI - Stability of additive functional equation on discrete quantum semigroups
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Maysami Sadr, Maysam
AD - Department of Mathematics, Institute for Advanced Studies in Basic Sciences, P.O.Box 45195-1159, Zanjan 45137-66731, Iran.
Y1 - 2017
PY - 2017
VL - 08
IS - 1
SP - 73
EP - 81
KW - Discrete quantum semigroup
KW - Additive functional equation
KW - Hyers-Ulam stability
KW - Noncommutative geometry
DO - 10.22130/scma.2017.22852
N2 - We constructÂ a noncommutative analog of additive functional equations on discrete quantum semigroups and show that this noncommutative functional equation has Hyers-Ulam stability on amenable discrete quantum semigroups. The discrete quantum semigroups that we consider in this paper are in the sense of van Daele, and the amenability is in the sense of BĂ¨dos-Murphy-Tuset. Our main result generalizes a famous and old result due to Forti on the Hyers-Ulam stability of additive functional equations on amenable classical discrete semigroups.
UR - http://scma.maragheh.ac.ir/article_22852.html
L1 - http://scma.maragheh.ac.ir/article_22852_a21e351c5081462f3ee9b1f99cdd027a.pdf
ER -