[PDF] Top 20 Approximation of homomorphisms and derivations on Lie C∗ algebras via fixed point method
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Approximation of homomorphisms and derivations on Lie C∗ algebras via fixed point method
... Banach algebras [], random normed spaces [–], fuzzy normed spaces [, ], non-Archimedean Banach spaces [], non-Archimedean lattice random spaces [], inner product spaces [–] and others ... See full document
9
Fixed point approach to the Hyers-Ulam-Rassias approximation of homomorphisms and derivations on Non-Archimedean random Lie $C^*$-algebras
... the fixed point method, we prove the general- ized Hyers-Ulam stability of homomorphisms and derivations in non- Archimedean random C ∗ -algebras and non-Archimedean ... See full document
12
Approximation of homomorphisms and derivations on non Archimedean random Lie C∗ algebras via fixed point method
... In this paper, using the fixed point method, we prove the generalized Hyers-Ulam stability of homomorphisms and derivations in non-Archimedean random C * -algebras and non-Archimedean ran[r] ... See full document
10
Stability of homomorphisms on fuzzy Lie C∗ algebras via fixed point method
... In this paper, using the fixed point method, we prove the generalized Hyers-Ulam stability of homomorphisms and derivations in fuzzy Lie C ∗ -algebras for the following additive ©2014 Vah[r] ... See full document
8
Approximation of the generalized Cauchy–Jensen functional equation in \(C^{*}\) algebras
... of C ∗ -algebra homomorphisms for the generalized Cauchy–Jensen equation C ∗ -algebras by using fixed point alternative ...function C ∗ -algebras by the same ... See full document
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Approximation of derivations and the superstability in random Banach ∗ algebras
... of derivations on random Banach ∗-algebras are exactly derivations by using a fixed point ...of derivations on random C ∗ -ternary algebras are exactly derivations ... See full document
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Fixed Points and Hyers-Ulam-Rassias Stability of Cauchy-Jensen Functional Equations in Banach Algebras
... of homomorphisms in real Banach algebras and of generalized derivations on real Banach algebras for the following Cauchy-Jensen functional equations: f (x + y/2 + z) + f (x − y/2 + z) = f (x) ... See full document
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Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approach
... Hyers’ method in [2]. In 2003, Radu [28] employed the alternative fixed point theo- rem, due to Diaz and Margolis [29], to prove the stability of Cauchy additive functional ...this method was ... See full document
8
Fixed points and quadratic equations connected with homomorphisms and derivations on non Archimedean algebras
... quadratic homomorphisms and quadratic derivations related to the quadratic func- tional equation ...Banach algebras over p-adic numbers will be ... See full document
10
Nearly higher ternary derivations in Banach ternary algebras :An alternative fixed point approach
... We say a functional equation (ξ) is stable if any function g satisfying the equation (ξ) approx- imately is near to true solution of (ξ). We say that a functional equation is superstable if every approximately solution ... See full document
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Homomorphisms and derivations in C∗ ternary algebras via fixed point method
... 10. Czerwik, P: Functional Equations and Inequalities in Several Variables. World Scientific, Singapore (2002) 11. Hyers, DH, Isac, G, Rassias, TM: Stability of Functional Equations in Several Variables. Birkhäuser, Basel ... See full document
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Random homomorphisms and random derivations in random normed algebras via fixed point method
... fixed point theorems with applications. Starting with , the fixed point alternative was applied to investigate the Hyers-Ulam stability for Jensen’s functional equation in [, , ] as well as for the ... See full document
13
The groups of automorphisms of the Lie algebras of triangular polynomial derivations
... A Lie algebra G is called Artinian (respectively, Noetherian) if the poset J (G) is Artinian (respectively, ...A Lie algebra G is called a uniserial Lie algebra if the poset J (G) is a well-ordered ... See full document
29
Product of derivations on C$^*$-algebras
... of derivations on an algebra A is not in general closed under ...two derivations will be again a ...two derivations on a prime ...two derivations on a prime ring, with characteristic not equal ... See full document
6
Lie $^*$-double derivations on Lie $C^*$-algebras
... f(ab) = f (a)b + af (b) + g(a)h(b) + h(a)g(b) (1.2) for all a, b ∈ A. They said that a linear mapping f : A → A is a (g, h) – double derivation if satisfies (1.2). Moreovre, by a f – double derivation they called a (f, f ... See full document
9
Nearly n homomorphisms and n derivations in fuzzy ternary Banach algebras
... approximate homomorphisms have been extensively investigated by a number of authors, and there are many interesting results concerning this problem (see ... See full document
11
On Derivations of Leibniz Algebras.
... the c-radical is equal to the radical of a Leibniz algebra ...a Lie algebra that has a radical which is not characteristic when the field has prime characteristic > ...all Lie algebras are ... See full document
78
Approximate * derivations and approximate quadratic * derivations on C* algebras
... Suppose that A is a complex Banach *-algebra. A ℂ -linear mapping δ : D( δ ) → A is said to be a derivation on A if δ (ab) = δ (a)+ b + a δ (b) for all a, b ∈ A , where D( δ ) is a domain of δ and D( δ ) is dense in A . ... See full document
13
Local higher derivations on C*-algebras are higher derivations
... a C ∗ ...a C ∗ -algebra, we can remove the continuity assumption from the definition of a local higher derivation and each local higher derivation on a C ∗ -algebra is automatically continuous even ... See full document
5
Positive-additive functional equations in non-Archimedean $C^*$-algebras
... new fixed point theorems with applications. By using the fixed point method, the stability problems of sev- eral functional equations have been extensively investigated by a number of ... See full document
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