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Homomorphism-derivation functional inequalities in C*-algebras

Title
Homomorphism-derivation functional inequalities in C*-algebras
Author
Keywords
additive-additive (s, t)-functional inequality; derivation and homomorphism in C ∗ -ternary algebra; derivation and homomorphism in unital C ∗ -algebra
Issue Date
2020-05
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Citation
AIMS MATHEMATICS, v. 5, no. 5, page. 4482-4493
Abstract
In this paper, we introduce and solve the following additive-additive (s, t)-functional inequality parallel to g (x + y) - g(x) - g(y)parallel to + parallel to 2h(x+y/2) - h(x) - h(y)parallel to (0,1) <= parallel to s(2g(x+y/2) - g(x) - g(y)parallel to + parallel to t(h(x=y) - h(x) - h(y))parallel to, where s and t are fixed nonzero complex numbers with vertical bar s vertical bar < 1 and vertical bar t vertical bar < 1. Furthermore, we investigate homomorphisms and derivations in complex Banach algebras and unital C*-algebras, associated to the additive-additive (s, t)-functional inequality (0.1) under some extra condition. Moreover, we introduce and solve the following additive-additive (s, t)-functional inequality parallel to g (x + y + z) - g(x) - g(y) g(z)parallel to + parallel to 3h (x + y +z/3) + h(x -2y + z) + h(x + y -2z) - 3h(x)parallel to <= parallel to s(3g(x+y+z/3) - g(x) - g(y) - g(z)parallel to (0,2) + parallel to t (h(x +y +z) + h(x - 2y + z) + h(x + y -2z) -3h(x))parallel to. where s and t are fixed nonzero complex numbers with vertical bar s vertical bar < 1 and vertical bar t vertical bar < 1. Furthermore, we investigate C*-ternary derivations and C*-ternary homomorphisms in C*-ternary algebras, associated to the additive-additive (s, t)-functional inequality (0.2) under some extra condition.
URI
http://www.aimspress.com/article/10.3934/math.2020288https://repository.hanyang.ac.kr/handle/20.500.11754/166306
ISSN
2473-6988
DOI
10.3934/math.2020288
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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