[PDF] Top 20 On the stability of ∗ derivations on Banach ∗ algebras
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On the stability of ∗ derivations on Banach ∗ algebras
... In , Cˇadariu and Radu employed the fixed-point method to the investigation of the Jensen functional equation. They presented a short and a simple proof (different from the ‘direct method,’ initiated by Hyers in ) ... See full document
10
Nearly n homomorphisms and n derivations in fuzzy ternary Banach algebras
... Rassias stability of -homomorphisms and -derivations related to the functional equation ...ternary Banach algebras (see also ...the stability of ... 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 ...random Banach ∗-algebras are exactly quadratic ...of derivations on random C ∗ ... See full document
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Superstability of derivations on Banach ∗ algebras
... approximate derivations on Banach ∗-algebras are exactly derivations and also show that approximate quadratic ∗-derivations on Banach ∗ -algebras are exactly quadratic ∗ ... See full document
10
Approximate ∗ derivations on fuzzy Banach ∗ algebras
... 1. Adam, M: On the stability of some quadratic functional equation. J. Nonlinear Sci. Appl. 4(1), 50-59 (2011) 2. Aoki, T: On the stability of the linear transformation in Banach spaces. J. Math. ... See full document
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Asymptotic aspect of derivations in Banach algebras
... semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach ...their ... See full document
11
Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi Banach algebras
... Hyers-Ulam-Rassias stability of ternary homomorphisms and ternary derivations on ternary quasi-Banach ...ternary derivations on ternary quasi Banach ... 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
... the stability of ring homomorphisms between two unital Banach algebras and Badora [6] gave a generalization of the Bourgin ...The stability result concerning derivations between ... See full document
8
Stability of Homomorphisms and Generalized Derivations on Banach Algebras
... some stability results concerning the functional equation ...Hyers-Ulam stability of homomorphisms and generalized derivations in real Banach ... See full document
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Generalized derivations with power values in rings and Banach algebras
... context a very interesting question is how to obtain the noncommutative version of the Singer- Wermer theorem. A first answer to this problem was obtained by Sinclair [28]. He proved that every continuous derivation of a ... See full document
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Stability of multipliers on Banach algebras
... Theorem 1.1 need not be true for p = 1. In fact, in Remark 2.1, we give an approxi- mate multiplier which is not an exact multiplier; however, in Remark 2.2, we see that the Hyers-Ulam-Rassias stability holds for ... See full document
5
Hyers Ulam Rassias stability of generalized module left (m,n) derivations
... left derivations and generalized left derivations (see, for example, [, ] and references ...Hyers-Ulam-Rassias stability of functional inequalities associated with generalized module left (m, ... See full document
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Approximate ternary quadratic derivations on ternary Banach algebras and C* ternary rings
... the stability of ternary quadratic derivations on ternary Banach ...the stability and the super- stability of ternary derivations on C*-ternary rings ...Hyers-Ulam-Rassias ... See full document
9
Approximate homomorphisms and derivations on random Banach algebras
... The study of stability problems originated from a famous talk Under what condition does there exist a homomorphism near an approximate homomorphism? given by S. M. Ulam [] in . Next year, in , D. H. ... See full document
7
Higher point derivations on commutative Banach algebras, III
... An examination of §3 of 3 shows that, in addition to general algebraic facts about point derivations, the technicalities required for the proofs can be arranged in four groups: i the use[r] ... See full document
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α Derivations and their norm in projective tensor products of Γ Banach algebras
... z, eV and y,’s are a’- idempotent i lfD is a derivation on V,F Rp V’,F’ such that D ,Y_.x, R y, elements of V’, then there exists an a’-derivation D on V defined by the rule ,Dx R y= D x[r] ... See full document
10
Hyers Ulam stability of derivations on proper Jordan CQ* algebras
... several stability problems for various functional equations have been inves- tigated by numerous mathematicians (see [6-25], M Eshaghi Gordji, unpublished ... See full document
11
Derivations in Banach algebras
... d and ¯ g on the Banach algebra A/P , defined by ¯ d(x + P ) = d(x) + P and ¯ g(x + P ) = g(x) + P (x ∈ A). In case A/P is commutative, both ¯ d(A/P ) and ¯ g(A/P ) are con- tained in the Jacobson radical of A/P ... See full document
5
Generalized additive functional inequalities in Banach algebras
... The stability problem of functional equations originated from a question of Ulam [38] concerning the stability of group homomorphisms. Hyers [9] gave a first affir- mative partial answer to the question of ... See full document
9
Approximate * derivations and approximate quadratic * derivations on C* algebras
... the stability of *-derivations associated with the Cauchy func- tional equation and the Jensen functional equation and of quadratic *-derivations on Banach ... See full document
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