# Isomorphisms and Derivations in Lie C*-Algebras

## Related Articles

- Homomorphisms and Derivations in C*-Algebras. Park, Choonkil; Najati, Abbas // Abstract & Applied Analysis;2007, p1
Using the Hyers-Ulam-Rassias stability method of functional equations, we investigate homomorphisms in C*-algebras, Lie C*-algebras, and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras, and JC*-algebras associated with the following Apollonius-type additive functional equation f (z...

- Complete controllability and complete constructive identifiability of completely regular differential-algebraic delay systems. Metel'skii, A. V.; Minyuk, S. A. // Differential Equations;Mar2007, Vol. 43 Issue 3, p311
The article presents the study which examines the dual problems of complete controllability and complete constructive identifiability of autonomous differential-algebraic delay systems. According to the authors, they have developed constructive methods in order to solve these problems. They...

- On Hyers-Ulam-Rassias stability of functional equations. Byung Do Kim // Acta Mathematica Sinica;Mar2008, Vol. 24 Issue 3, p353
In this paper, we investigate the stability of functional equation given by the pseudo-additive mappings of the mixed quadratic and Pexider type in the spirit of Hyers, Ulam, Rassias and GÄƒvruta.

- On the stability of the generalized sine functional equations. Gwang Hui Kim // Acta Mathematica Sinica;Jan2009, Vol. 25 Issue 1, p29
The aim of this paper is to study the stability problem of the generalized sine functional equations as follows: . Namely, we have generalized the Hyers-Ulam stability of the (pexiderized) sine functional equation.

- Generalized Stability of C*-Ternary Quadratic Mappings. Park, Choonkil; Jianlian Cui // Abstract & Applied Analysis;2007, p1
We prove the generalized stability of C*-ternary quadratic mappings in C*-ternary rings for the quadratic functional equation f (x + y)+ f (x - y) = 2 f (x) + 2 f (y).

- Fluid-phase diagrams of binary mixtures from constant pressure integral equations. Pastore, G.; Santin, R.; Taraphder, S.; Colonna, F. // Journal of Chemical Physics;5/8/2005, Vol. 122 Issue 18, p181104
A new algorithm for solving integral equations of the theory of liquids at fixed pressure is introduced. Combining this technique with the Leeâ€™s star function approximation for the chemical potentials, we obtain an efficient method to investigate fluid-phase diagrams of binary mixtures....

- Non-Archimedean Hyers-Ulam Stability of an Additive-Quadratic Mapping. Kenary, Hassan Azadi; Rassias, Themistocles M.; Rezaei, H.; Talebzadeh, S.; Park, Won-Gil // Discrete Dynamics in Nature & Society;2012, Special section p1
Using fixed point method and direct method, we prove the Hyers-Ulam stability of the following additive-quadratic functional equation rÂ²f((x + y + z)/r) + rÂ²f((x - y + z)/r) + rÂ²f((x + y - z)/r) + rÂ²f((-x + y + z)/r) = 4/(x) + 4/(y) + 4/(z), where r is a positive real number, in...

- A stability criterion for FrÃ©chet's first polynomial equation. Dăianu, Dan // Aequationes Mathematica;Dec2014, Vol. 88 Issue 3, p233
We extend Gajda's result concerning the stability of the Cauchy's functional equation to FrÃ©chet's first polynomial equation.

- LEVEL-CROSSING PROBABILITIES AND FIRST-PASSAGE TIMES FOR LINEAR PROCESSES. Basak, Gopal K.; Ho, Kwok-Wah Remus // Advances in Applied Probability;Jun2004, Vol. 36 Issue 2, p643
Discrete time-series models are commonly used to represent economic and physical data. In decision making and system control, the first-passage time and level-crossing probabilities of these processes against certain threshold levels are important quantities. In this paper, we apply an...