[PDF] Top 20 Random \(C^{*}\) ternary algebras and application
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Random \(C^{*}\) ternary algebras and application
... Ternary algebraic operations were considered in the th century by several mathemati- cians, such as Cayley [], who introduced the notion of cubic matrix which, in turn, was generalized by Kapranov et al. []. ... See full document
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Multi \(C^{*}\) ternary algebras and applications
... a C ∗ -ternary algebra (A, [ · , · , · ]) has the identity, ...unital C ∗ -algebra. Conversely, if (A, ◦) is a unital C ∗ -algebra, then [x, y, z] := x ◦ y ∗ ◦ z makes A into a C ∗ ... See full document
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Approximate ternary quadratic derivations on ternary Banach algebras and C* ternary rings
... As it is extensively discussed in [11], the full description of a physical system S implies the knowledge of three basic ingredients: the set of the observables, the set of the states and the dynamics that describes the ... See full document
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Approximation of derivations and the superstability in random Banach ∗ algebras
... on random Banach ∗-algebras are exactly derivations by using a fixed point ...on random Banach ∗-algebras are exactly quadratic ...on random C ∗ -ternary algebras ... See full document
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Lie ternary $(\sigma,\tau,\xi)$--derivations on Banach ternary algebras
... that ternary structures and their generalization will have certain possible applications in ...A ternary (asso- ciative) algebra (A, [ ]) is a linear space A over a scalar field F = ( R or C ) ... See full document
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Ternary (\sigma,\tau,\xi)-derivations on Banach ternary algebras
... A ternary (associative) algebra (A, [ ]) is a linear space A over a scalar field F = ( R or C ) equipped with a linear mapping, the so-called ternary product, [ ]: A × A × A → A such that [[abc]de] = ... See full document
13
Notes on the Variety of Ternary Algebras
... Different algebras began to be used in the thirties as a tool for the analysis and design of digital ...was C. E. Shannon, who in 1938 applied Boolean algebras in his work “ A Symbolic Analysis of ... See full document
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Fixed points and stability of functional equations in fuzzy ternary Banach algebras
... Ternary algebraic operations were considered in the nineteenth century by several math- ematicians such as Cayley [] who introduced the notion of cubic matrix which in turn was generalized by Kapranov, Gelfand ... See full document
10
Nearly higher ternary derivations in Banach ternary algebras :An alternative fixed point approach
... A. Cayley [7] introduced the notion of cubic matrices and a generalization of the determinant, called the hyperdeterminant, then were found again and generalized by M. Kapranov, I. M. Gelfand and A. Zelevinskii in 1990 ... See full document
9
Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi Banach algebras
... space. Ternary algebraic operations were considered in the 19th century by several mathe- maticians such as Cayley [52] who introduced the notion of cubic matrix which in turn was generalized by Kapranov et ...of ... See full document
11
Isomorphisms in unital $C^*$-algebras
... Assume that X and Y are left normed modules over a unital C ∗ -algebra A. It is shown that every surjective isometry T : X → Y , satisfying T (0) = 0 and T(ux) = uT (x) for all x ∈ X and all unitaries u ∈ A, is an ... See full document
10
P-Adic lifting problems and derived equivalences
... Proof. We have already seen in the proof of Theorem 6.8 that Λ has to be as in (88). We did however not see (and in general it is not true) that α, ˆ β, ˆ γ ˆ and η ˆ may be assumed to be lifts of the elements α, β, γ ... 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
Approximate homomorphisms and derivations on random Banach algebras
... In this paper, we prove the generalized Hyers-Ulam stability of random homomorphisms and random derivations associated with the generalized additive functional equation . in random Ban[r] ... See full document
7
Crossed Products of C*-Algebras
... on C*-algebras as we shall see ...about C ∗ -algebras and locally compact ...to C ∗ -algebras while the last three sections cover topological ... See full document
83
Product of derivations on C$^*$-algebras
... various algebras, see for example [1, 2, 3, 5, 6, 7, 8] and references ...of C ∗ -algebras, Mathieu [5] showed that, if the product of two derivations δ and δ 0 on a C ∗ -algebra is a ... See full document
6
Nearly n homomorphisms and n derivations in fuzzy ternary Banach algebras
... In this section, by using the idea of Park et al. [], we prove the generalized Hyers-Ulam- Rassias stability of -homomorphisms and -derivations related to the functional equation (.) on fuzzy ternary Banach ... See full document
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Fuzzy Ideals of C-Algebras
... On the other hand, Guzman and Squier [4] introduced the variety of -algebras as the variety generated by the three-element algebra = {, , } with the operations " ∧ "; " ∨ " and " ′ " of ... See full document
11
Random homomorphisms and random derivations in random normed algebras via fixed point method
... The Hyers-Ulam stability of different functional equations in random normed and fuzzy normed spaces has been recently studied in [, , , –]. They are completed with the recent paper [], which contains ... See full document
13
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
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