[PDF] Top 20 Approximation of derivations and the superstability in random Banach ∗ algebras
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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 ...on random Banach ∗-algebras are exactly quadratic ...of ... See full document
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Approximation of homomorphisms and derivations on Lie C∗ algebras via fixed point method
... example, Banach algebras [], random normed spaces [–], fuzzy normed spaces [, ], non-Archimedean Banach spaces [], non-Archimedean lattice random spaces [], inner product ... See full document
9
Random homomorphisms and random derivations in random normed algebras via fixed point method
... A Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof [] for mappings f : X → Y , where X is a normed space and Y is a Banach space. Cholewa [] noticed that the theorem of Skof ... See full document
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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
Ternary (\sigma,\tau,\xi)-derivations on Banach ternary algebras
... During the last decades several stability problems of functional equations have been investigated by many mathematicians. A large list of references concerning the stability of functional equations can be found in [5], ... See full document
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Approximate n Jordan ∗ derivations on C∗ algebras and JC∗ algebras
... 1. Ulam, SM: Problems in Modern Mathematics. Science ed. Wiley, New York (1940) (Chapter VI) 2. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, 222-224 (1941) 3. Aoki, T: On ... See full document
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Superstability for Generalized Module Left Derivations and Generalized Module Derivations on a Banach Module (I)
... linear derivations on Banach ...commutative Banach algebra maps into the Jacobson ...semisimple Banach algebra is identically zero ...semisimple Banach algebra with the maximal ideal ... 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
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On the stability of ∗ derivations on Banach ∗ algebras
... In this paper, we prove the stability of ∗ -derivations associated with the Cauchy func- tional equation and the Jensen functional equation on Banach ∗-algebras. We also show that these functional ... 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
... From now on, we assume that A, [ · , · , · ] is a non-Archimedean ternary Banach algebra and ℓ Î {-1,1} is fixed. Also, we suppose that |4| < 1 and that 4 ≠ 0 in K (i.e., the characteristic of K is not 4). We ... See full document
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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. Hyers [] ... See full document
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Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi Banach algebras
... ternary derivations on ternary quasi-Banach ...the superstability of ternary homomorphisms and ternary derivations on ternary quasi Banach ... See full document
11
On the Beurling algebras Aα+(𝔻)derivations and extensions
... discontinuous derivations on A( D ) (or arbitrary Banach algebras of power series) have been constructed [3, 6, 10], all these examples consist of derivations van- ishing on the polynomials ... See full document
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Derivations in Banach algebras
... 1. Introduction. Throughout this paper, A represents an associative algebra over the complex field C , and the Jacobson radical of A and the center of A are denoted by rad(A) and Z(A), respectively. Let I be any closed ... See full document
5
Generalized derivations with power values in rings and Banach algebras
... In [23], Lee proved that every generalized derivation can be uniquely extended to a general- ized derivation of U and thus all generalized derivations of R implicitly assumed to be defined on the whole of U. In ... See full document
15
On the Stability of Quadratic Double Centralizers and Quadratic Multipliers: A Fixed Point Approach
... In 1940, Ulam 1 raised the following question concerning stability of group homomor- phisms: under what condition does there exist an additive mapping near an approximately additive mapping? Hyers 2 answered the problem ... See full document
9
Almost partial generalized Jordan derivations: a fixed point approach
... Abstract Using fixed point method, we investigate the Hyers-Ulam stability and the superstability of partial generalized Jordan derivations on Banach modules related to Jensen type funct[r] ... See full document
10
Approximation of the multiplicatives on random multi normed space
... of random normed spaces and their properties are discussed in ...introduce random multi-normed spaces. Next, we get an approximation for homomorphisms in these ... See full document
10
On a pair of random generalized non linear contractions
... Complete probability measure space, Banach spaces, -algebras, Borel subsets, random variable, random operator, separable Banach space, random generalized nonlinear ntraion, upper semicon[r] ... See full document
9
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
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