http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
STABILITY OF A QUADRATIC FUNCTIONAL EQUATION IN QUASI-BANACH SPACES
Najati, Abbas,Moradlou, Fridoun Korean Mathematical Society 2008 대한수학회보 Vol.45 No.3
In this paper we establish the general solution and investigate the Hyers-Ulam-Rassias stability of the following functional equation in quasi-Banach spaces. $${\sum\limits_{{{1{\leq}i<j{\leq}4}\limits_{1{\leq}k<l{\leq}4}}\limits_{k,l{\in}I_{ij}}}\;f(x_i+x_j-x_k-x_l)=2\;\sum\limits_{1{\leq}i<j{\leq}4}}\;f(x_i-x_j)$$ where $I_{ij}$={1, 2, 3, 4}\backslash${i, j} for all $1{\leq}i<j{\leq}4$. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias' stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc.
Jordan θ-derivations on Lie triple systems
Abbas Najati 대한수학회 2009 대한수학회보 Vol.46 No.3
In this paper we prove that every Jordan θ-derivation on a Lie triple system is a θ-derivation. Specially, we conclude that every Jordan derivation on a Lie triple system is a derivation. In this paper we prove that every Jordan θ-derivation on a Lie triple system is a θ-derivation. Specially, we conclude that every Jordan derivation on a Lie triple system is a derivation.
Abbas Najati,G. Zamani Eskandani,박춘길 대한수학회 2009 대한수학회보 Vol.46 No.1
In this paper, we investigate homomorphisms in proper JCQ^{*}-triples and derivations on proper JCQ^{*}-triples associated to the following Pexiderized functional equation [f(x+y+z) = f_{0}(x)+ f_{1}(y)+f_{2}(z)]. This is applied to investigate homomorphisms and derivations in proper JCQ^{*}-triples. In this paper, we investigate homomorphisms in proper JCQ^{*}-triples and derivations on proper JCQ^{*}-triples associated to the following Pexiderized functional equation [f(x+y+z) = f_{0}(x)+ f_{1}(y)+f_{2}(z)]. This is applied to investigate homomorphisms and derivations in proper JCQ^{*}-triples.
A CAUCHY-JENSEN FUNCTIONAL INEQUALITY IN BANACH MODULES OVER A C*-ALGEBRA
Abbas Najati 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.1
In this paper, we investigate the following functional inequality [수식]in Banach modules over a C*-algebra, and prove the generalized Hyers–Ulam stability of linear mappings in Banach modules over a C*-algebra.
STABILITY OF DERIVATIONS ON PROPER LIE CQ<sup>*</sup>-ALGEBRAS
Najati, Abbas,Eskandani, G. Zamani Korean Mathematical Society 2009 대한수학회논문집 Vol.24 No.1
In this paper, we obtain the general solution and the generalized Hyers-Ulam-Rassias stability for a following functional equation $$\sum\limits_{i=1}^mf(x_i+\frac{1}{m}\sum\limits_{{i=1\atop j{\neq}i}\.}^mx_j)+f(\frac{1}{m}\sum\limits_{i=1}^mx_i)=2f(\sum\limits_{i=1}^mx_i)$$ for a fixed positive integer m with $m\;{\geq}\;2$. This is applied to investigate derivations and their stability on proper Lie $CQ^*$-algebras. The concept of Hyers-Ulam-Rassias stability originated from the Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72(1978), 297-300.
Hyers-Ulam-Rassias Stability of a Cubic Functional Equation
Abbas Najati 대한수학회 2007 대한수학회보 Vol.44 No.4
In this paper, we will nd out the general solution and in-vestigate the generalized HyersUlamRassias stability problem for thefollowing cubic functional equation3f(x + 3 y) + f(3x y) = 15 f(x + y) + 15 f(x y) + 80 f(y):The concept of Hyers-Ulam-Rassias stability originated from Th. M.Rassias’ stability theorem that appeared in his paper: On the stabilityof the linear mapping in Banach spaces, Proc. Amer. Math. Soc.72(1978), 297--300.
JORDAN θ-DERIVATIONS ON LIE TRIPLE SYSTEMS
Najati, Abbas 대한수학회 2009 대한수학회보 Vol.46 No.3
In this paper we prove that every Jordan $\theta$-derivation on a Lie triple system is a $\theta$-derivation. Specially, we conclude that every Jordan derivation on a Lie triple system is a derivation.
STABILITY OF A MIXED QUADRATIC AND ADDITIVE FUNCTIONAL EQUATION IN QUASI-BANACH SPACES
Najati, Abbas,Moradlou, Fridoun The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.5
In this paper we establish the general solution of the functional equation f(2x+y)+f(x-2y)=2f(x+y)+2f(x-y)+f(-x)+f(-y) and investigate the Hyers-Ulam-Rassias stability of this equation in quasi-Banach spaces. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias' stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.
Najati, Abbas,Eskandani, G. Zamani,Park, Choon-Kil 대한수학회 2009 대한수학회보 Vol.46 No.1
In this paper, we investigate homomorphisms in proper $JCQ^*$-triples and derivations on proper $JCQ^*$-triples associated to the following Pexiderized functional equation $$f(x+y+z)=f_0(x)+f_1(y)+f_2(z)$$. This is applied to investigate homomorphisms and derivations in proper $JCQ^*$-triples.