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SOME CHARACTERIZATIONS OF CHARACTER AMENABLE BANACH ALGEBRAS
Madjid Eshaghi Gordji,Ali Jabbari,김광휘 대한수학회 2015 대한수학회보 Vol.52 No.3
In this study, the character amenability of Banach algebras is considered and some characterization theorems are established. Indeed, we prove that the character amenability of Lipschitz algebras is equivalent to that of Banach algebras.
MODULE EXTENSION OF DUAL BANACH ALGEBRAS
Madjid Eshaghi Gordji,Fereydoun Habibian 대한수학회 2010 대한수학회보 Vol.47 No.4
This work was intended as an attempt to introduce and investigate the Connes-amenability of module extension of dual Banach algebras. It is natural to try to study the weak*-continuous derivations on the module extension of dual Banach algebras and also the weak Connesamenability of such Banach algebras.
ELECTROCHEMICAL SYNTHESIS AND CHARACTERIZATION OF DIFFERENT MORPHOLOGIES NANORAMSDELLITE-MnO2
MADJID TORKAMAN,AZIZAN AZIZ,MOHAMAD ABU BAKAR,SULAIMAN AB GHANI 성균관대학교(자연과학캠퍼스) 성균나노과학기술원 2012 NANO Vol.7 No.4
In this work manganese dioxide (Ramsdellite-MnO2) was synthesized at room temperature using a facile electrochemical method. X-ray di®raction (XRD) was used to identify the type and the size of the crystal particle, while ¯eld emission scanning electron microscopy (FESEM) and energy ¯ltered transmission electron microscopy (EFTEM) were used to show and identify the morphology of the particles and changes of their morphologies with the increase of reaction times. Fourier transform infrared (FTIR) spectroscopy con¯rmed the Mn?O bond. Results from XRD showed that optimum time for synthesis Ramsdellite-MnO2 was 9 h. The results of EFTEM showed a mixture of nanospheres and nanorods after 9 h reaction time while a homogenous morphology of nanospheres was detected at 12 h reaction time. Results con¯rmed on the existence of a correlation between the reaction time and the resulting nanostructures. Moreover, the EFTEM result showed that average particle size for 12 h was (25 ? 7nm). The variation of calculated speci¯c capacitance (F/g) versus the di®erent scan rate has indicated that the e±-ciency of synthesized Ramsdellite-MnO2 nanostructures in 12 h reaction time was superior to 9 h.
STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONS
Madjid Eshaghi Gordji 대한수학회 2010 대한수학회보 Vol.47 No.3
In this paper, we obtain the general solution and the generalized Hyers-Ulam Rassias stability of the functional equation f(2x + y) + f(2x − y) = 4(f(x + y) + f(x − y)) −37(f(2y) − 2f(y)) + 2f(2x) − 8f(x).
On a composite functional equation related to the Golab-Schinzel equation
Madjid Eshaghi Gordji,Themistocles M. Rassias,Mohamed Tial,Driss Zeglami 대한수학회 2016 대한수학회보 Vol.53 No.2
Let $X$ be a vector space over a field $K$ of real or complex numbers and $ k\in \mathbb{N}$. We prove the superstability of the following generalized Golab--Schinzel type equation \begin{equation*} f(x_{1}+\sum_{i=2}^{p}x_{i}f(x_{1})^{k} f(x_{2})^{k}\cdots f(x_{i-1})^{k})=\prod \limits_{i=1}^{p}f(x_{i}),\ x_{1},x_{2},\ldots,x_{p}\in X, \end{equation*} where $f:X\rightarrow K$ is an unknown function which is hemicontinuous at the origin.
JORDAN *-HOMOMORPHISMS BETWEEN UNITAL C<sup>*</sup>-ALGEBRAS
Gordji, Madjid Eshaghi,Ghobadipour, Norooz,Park, Choon-Kil Korean Mathematical Society 2012 대한수학회논문집 Vol.27 No.1
In this paper, we prove the superstability and the generalized Hyers-Ulam stability of Jordan *-homomorphisms between unital $C^*$-algebras associated with the following functional equation$$f(\frac{-x+y}{3})+f(\frac{x-3z}{c})+f(\frac{3x-y+3z}{3})=f(x)$$. Morever, we investigate Jordan *-homomorphisms between unital $C^*$-algebras associated with the following functional inequality $${\parallel}f(\frac{-x+y}{3})+f(\frac{x-3z}{3})+f(\frac{3x-y+3z}{3}){\parallel}\leq{\parallel}f(x)\parallel$$.
ON A COMPOSITE FUNCTIONAL EQUATION RELATED TO THE GOLAB-SCHINZEL EQUATION
Gordji, Madjid Eshaghi,Rassias, Themistocles M.,Tial, Mohamed,Zeglami, Driss Korean Mathematical Society 2016 대한수학회보 Vol.53 No.2
Let X be a vector space over a field K of real or complex numbers and $k{\in}{\mathbb{N}}$. We prove the superstability of the following generalized Golab-Schinzel type equation $f(x_1+{\limits\sum_{i=2}^p}x_if(x_1)^kf(x_2)^k{\cdots}f(x_{i-1})^k)={\limits\prod_{i=1}^pf(x_i),x_1,x_2,{\cdots},x_p{\in}X$, where $f:X{\rightarrow}K$ is an unknown function which is hemicontinuous at the origin.