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Approximation of derivations and the superstability in random Banach -algebrasopen access
- Authors
- Saadati, Reza; Park, Choonkil
- Issue Date
- Nov-2018
- Publisher
- PUSHPA PUBLISHING HOUSE
- Keywords
- Derivation; Quadratic derivation; Superstability; Fixed point method; Random Banach -algebra; Random C*-ternary algebra
- Citation
- ADVANCES IN DIFFERENCE EQUATIONS, v.2018, no.1, pp.1 - 12
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN DIFFERENCE EQUATIONS
- Volume
- 2018
- Number
- 1
- Start Page
- 1
- End Page
- 12
- ISSN
- 1687-1839
- Abstract
- We prove that approximations of derivations on random Banach ∗-algebras are exactly derivations by using a fixed point method. Furthermore, we show that approximations of quadratic ∗-derivations on random Banach ∗-algebras are exactly quadratic ∗-derivations. We, moreover, prove that approximations of derivations on random C∗-ternary algebras are exactly derivations by using a fixed point method.
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