共查询到20条相似文献,搜索用时 140 毫秒
1.
借助于MV-代数的自同态引入并研究了MV-代数上的广义(→,⊕)-导子,得到了其等价刻画.此外,给出了MV-代数的广义中心主导子的概念,在此基础之上讨论了广义(→,⊕)-导子与MV-代数其它导子之间的关系,并利用强主中心广义导子的不动点集给出MV-代数成为Boole代数的等价刻画.所得结论推广了MV-代数上的导子,并借... 相似文献
2.
设N是Banach空间X上的套,AlgN是相应的套代数。本文证明了,若套N中存在一个非平凡元在X中可补,那么AlgN上的每个可加Jordan高阶导子和每个可加三重Jordan高阶导子都是高阶导子。 相似文献
3.
本文引入了Banach代数上线性映射的Lie不变子空间,给出了因子VonNeumann代数中套子代数上以导子空间为Lie不变子空间的线性映射的一般形式,研究了Lie导子与Lie自同构的概念及了Lie导子与Lie自同构半群的关系. 相似文献
4.
设■是复Hilbert空间,■是■上有界线性算子全体,■是标准算子代数且对于伴随运算封闭.本文结合广义Jensen等式证明了标准算子代数■上的和导子有关的函数方程具有广义Hyers-Ulam-Rassias稳定性. 相似文献
5.
通过构造李亚普诺夫函数的方法,研究了广义的Lotka—Volterra时滞模型方程,而且给出了正平衡点的全局渐近稳定性的充分必要条件,同时对前人的结果进行了改进和推广. 相似文献
6.
本文在具有Banach代数的锥b-度量空间上引入广义g-拟压缩映射,无需正规性条件,得到了广义g-拟压缩映射的不动点存在唯一性,从而将′Ciri′c不动点定理推广到具有Banach代数的锥b-度量空间的情形,主要结果改进和推广了有关文献中的相应结论,并将有关结果应用于非线性积分方程. 相似文献
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在广义函数空间上重新定义了Drygas型函数方程的稳定性,然后利用高斯变换将广义函数空间上的函数方程稳定性转换为R~(n+1)空间上的光滑函数方程的稳定性.在求得正则化的函数方程稳定性后,利用广义函数与正则化函数间的关系给出在广义函数空间上的Drygas型函数方程的Hyers-Ulam-Rassias型稳定性. 相似文献
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给出了三次Hyers—Ulam—Rassias型泛函方程的一种新表示方法af(x+ay)-f(ax+y)=(a(a~2-1))/2[f(x+y)+f(x-y)]+(a~4-1)f(y)-2a(a~2-1)f(x)其中a为整数且a≠0,土1.关于9个三次泛函方程给出等价性证明。对Banach空间三次方程的稳定性问题给予讨论。 相似文献
11.
G.F Kohlmayr 《Journal of Mathematical Analysis and Applications》1973,41(3):632-672
An algebraic isomorphism from a convolution algebra of Laplace transformable functions with support on the half-line to a complete discrete normed convolution algebra of sequences is used to construct generalized functions. The extension of this function-to-sequence map to a commutative Banach algebra of generalized functions is shown to be a Banach algebra isomorphism which can be utilized to establish a discrete formulation of a Mikusiński-type operational calculus and to construct algorithms for the numerical solution of half-line convolution equations. 相似文献
12.
Mohammad Sal Moslehian 《Acta Appl Math》2008,100(2):187-199
Ternary algebras and modules are vector spaces on which products of three factors are defined. In this paper, we present several
physical applications of ternary structures. Some recent results on the stability of ternary derivations are reviewed. Using
a fixed point method, we also establish the generalized Hyers–Ulam–Rassias stability of ternary derivations from a normed
ternary algebra into a Banach tri-module associated to the generalized Jensen functional equations and prove a superstability
result.
The author was in part supported by a grant from IPM (No. 85390031). 相似文献
13.
Chun-Gil Park 《Journal of Mathematical Analysis and Applications》2002,275(2):711-720
We prove the generalized Hyers-Ulam-Rassias stability of the linear mapping in Banach modules over a unital Banach algebra. 相似文献
14.
Chun-Gil Park 《Journal of Mathematical Analysis and Applications》2002,276(1):135-144
We prove the generalized Hyers-Ulam-Rassias stability of the quadratic mapping in Banach modules over a unital Banach algebra. 相似文献
15.
Chun-Gil Park 《Acta Appl Math》2003,77(2):125-161
The paper is a survey on the Hyers–Ulam–Rassias stability of linear functional equations in Banach modules over a C
*-algebra. Its contents is divided into the following sections: 1. Introduction; 2. Stability of the Cauchy functional equation in Banach modules; 3. Stability of the Jensen functional equation in Banach modules; 4. Stability of the Trif functional equation in Banach modules; 5. Stability of cyclic functional equations in Banach modules over a C
*-algebra; 6. Stability of cyclic functional equations in Banach algebras and approximate algebra homomorphisms; 7. Stability of algebra *-homomorphisms between Banach *-algebras and applications. 相似文献
16.
In recent papers the authors presented their approach to Feynman’s operational calculi for a system of not necessarily commuting
bounded linear operators acting on a Banach space. The central objects of the theory are the disentangling algebra, a commutative
Banach algebra, and the disentangling map which carries this commutative structure into the noncommutative algebra of operators.
Under assumptions concerning the growth of disentangled exponential expressions, the associated functional calculus for the
system of operators is a distribution with compact support which we view as the joint spectrum of the operators with respect
to the disentangling map. In this paper, the functional calculus is represented in terms of a higher-dimensional analogue
of the Riesz-Dunford calculus using Clifford analysis. 相似文献
17.
L. H. Brandenburg 《Journal of Mathematical Analysis and Applications》1975,50(3):489-510
We consider the problem of identifying the maximal ideals of a Banach algebra S that is contained in a larger Banach algebra B. If S is dense in B in an appropriate sense and if the spectral radii in S and B are the same, then S and B have the same maximal ideals. The result is illustrated by two examples of Banach algebras S in which the density and spectral radius conditions are easily shown to be valid with respect to a larger algebra B whose maximal ideals are known. The first example is a convolution algebra on a group where the functions in the algebra have specified rate of decay. The second example is a generalized version of an algebra introduced by I. Hirschman. Two applications of the generalized Hirschman algebra are presented: these relate to filtering and prediction of stationary random sequences and concern the asymptotic behavior of the errors incurred by the finite memory predictor and by the finite lag filter. 相似文献
18.
Hahng-Yun Chu Dong Seung Kang 《Journal of Mathematical Analysis and Applications》2007,325(1):595-607
Let n?2 be an integer number. In this paper, we investigate the generalized Hyers-Ulam-Rassias stability in Banach spaces and also Banach modules over a Banach algebra and a C∗-algebra, and the stability using the alternative fixed point of an n-dimensional cubic functional equation in Banach spaces:
19.
Danrun Huang 《Integral Equations and Operator Theory》1992,15(3):454-469
LetA be a matrix over a complex commutative unital Banach algebra. We give necessary and sufficient conditions forA to have a generalized inverse. Moreover, if the Banach algebra has a symmetric involution, these are also necessary and sufficient conditions forA to admit the Moore-Penrose inverse.Partially supported by NSF Grant DMS-8802593 相似文献
20.
We introduce new expressions for the generalized Drazin inverse of a block matrix with the generalized Schur complement being generalized Drazin invertible in a Banach algebra under some conditions. We generalized some recent results for Drazin inverse and group inverse of complex matrices. 相似文献