TY - JOUR
ID - 6986
TI - Multiplicative and almost multiplicative maps in probabilistic normed algebras
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Shayanpour, Hamid
AD - Department of Pure Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P. O. Box 88186-34141, Shahrekord, Iran
Y1 - 2023
PY - 2023
VL - 14
IS - 6
SP - 99
EP - 108
KW - Multiplicative map
KW - almost multiplicative map
KW - probabilistic normed algebras
DO - 10.22075/ijnaa.2022.26345.3298
N2 - Our main purpose of this paper is to study the relationship between multiplicative maps and almost multiplicative maps between probabilistic normed algebras. We first derive some properties of invertible elements and their relation with multiplicative maps. Then we show that every complex homomorphism on elements whose probabilistic norm is equal to 1, is bounded. In the following, we give an open problem about the functionally continuous of unital commutative probabilistic Banach algebra. Finally, we prove that every almost multiplicative map that is not a multiplicative map is continuous.
UR - https://ijnaa.semnan.ac.ir/article_6986.html
L1 - https://ijnaa.semnan.ac.ir/article_6986_ad5f347c1236018f78c5a368672936c3.pdf
ER -