scholarly journals A fixed point technique for approximate a functional inequality in normed modules over C*-algebras

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1691-1696
Author(s):  
Yeol Cho ◽  
Reza Saadati ◽  
Young-Oh Yang ◽  
H.M. Kenari
Keyword(s):  
Fixed Point ◽  
Error Estimation ◽  
Functional Inequality ◽  
Additive Functional ◽  
C Algebra ◽  
C Algebras ◽  
Additive Functional Inequality ◽  
Fixed Point Technique

In this paper, we apply fixed point technique to investigate the following additive functional inequality: ||f(x)+f(y)+f(z)+f(w)||?||f(x+y)+f(z+w)|| in normed modules over a C*-algebra, which is also applied to understand homomorphisms in C*-algebras. Our results improve and generalize some results given by some authors. Especially, we get a better error estimation of An?s main result.

scholarly journals Approximation of additive functional equations in NA Lie C*-algebras

2018 ◽  
Vol 51 (1) ◽  
pp. 37-44 ◽  
Author(s):  
Zhihua Wang ◽  
Reza Saadati
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Functional Equations ◽  
Additive Functional ◽  
Fixed Point Method ◽  
Content Type ◽  
Additive Functional Equation ◽  
C Algebras ◽  
Stable Map ◽  
Higher Derivation

AbstractIn this paper, by using fixed point method, we approximate a stable map of higher *-derivation in NA C*-algebras and of Lie higher *-derivations in NA Lie C*-algebras associated with the following additive functional equation,where m ≥ 2.

scholarly journals Approximate generalized additive mappings in proper multi-CQ*-algebras

Filomat ◽  
2014 ◽  
Vol 28 (4) ◽  
pp. 677-694 ◽  
Author(s):  
R. Saadati ◽  
Gh. Sadeghi ◽  
Th.M. Rassias
Keyword(s):  
Functional Inequality ◽  
Additive Functional ◽  
Additive Functional Inequality ◽  
Additive Mappings

In this paper, we approximate the following additive functional inequality ?( ?d+1,i=1 f(x1i),..., ?d+1,i=1, f(xki))? ? ?mf (?d+1,i=1 x1i/m),..., mf (?d+1,i=1 xki/m)) ?k for all x11,..., xkd+1?X. We investigate homomorphisms in proper multi-CQ*-algebras and derivations on proper multi-CQ*-algebras associated with the above additive functional inequality.

scholarly journals A Short Note on the Continuous Rokhlin Property and the Universal Coefficient Theorem in E-theory

2015 ◽  
Vol 58 (2) ◽  
pp. 374-380 ◽  
Author(s):  
Gábor Szabó
Keyword(s):  
Fixed Point ◽  
Compact Group ◽  
Short Note ◽  
Circle Actions ◽  
Continuous Action ◽  
C Algebra ◽  
C Algebras ◽  
Group A ◽  
Fixed Point Algebra ◽  
Universal Coefficient Theorem

AbstractLet G be a metrizable compact group, A a separable C*-algebra, and α:G → Aut(A) a strongly continuous action. Provided that α satisfies the continuous Rokhlin property, we show that the property of satisfying the UCT in E-theory passes from Ato the crossed product C*-algebra A⋊α G and the ûxed point algebra Aα. This extends a similar result by Gardella for KK-theory in the case of unital C*-algebras but with a shorter and less technical proof. For circle actions on separable unital C*-algebras with the continuous Rokhlin property, we establish a connection between the Etheory equivalence class of A and that of its fixed point algebra Aα.

scholarly journals AN ADDITIVE FUNCTIONAL INEQUALITY

2014 ◽  
Vol 22 (2) ◽  
pp. 317-323
Author(s):  
Sung Jin Lee ◽  
Choonkil Park ◽  
Dong Yun Shin
Keyword(s):  
Functional Inequality ◽  
Additive Functional ◽  
Additive Functional Inequality

scholarly journals Generalized Hyers-Ulam stability for general additive functional equations on non-Archimedean random lie C*-algebras

Filomat ◽  
2018 ◽  
Vol 32 (6) ◽  
pp. 2127-2138
Author(s):  
Zhihua Wang ◽  
Prasanna Sahoo
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Functional Equations ◽  
Additive Functional ◽  
Fixed Point Method ◽  
Point Method ◽  
Ulam Stability ◽  
Fixed Integer ◽  
Additive Functional Equation ◽  
C Algebras

In this paper, using the fixed point method, we prove some results related to the generalized Hyers-Ulam stability of homomorphisms and derivations in non-Archimedean random C*-algebras and non-Archimedean random Lie C*-algebras for the generalized additive functional equation ?1 ? i < j ?n f(xi+xj/2 + ?n-2 l=1,kl?i,j xkl) = (n-1)2/2 ?n,i=1 f(xi) where n ? N is a fixed integer with n ? 3.

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