共查询到20条相似文献,搜索用时 437 毫秒
1.
Choonkil Park 《Bulletin des Sciences Mathématiques》2008,132(2):87-96
In this paper, we prove the Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras. This is applied to investigate isomorphisms between quasi-Banach algebras. 相似文献
2.
Choonkil PARK 《数学年刊B辑(英文版)》2007,28(3):353-362
In this paper, the author proves the Hyers-Ulam-Rassias stability of homo-morphisms in quasi-Banach algebras. This is used to investigate isomorphisms between quasi-Banach algebras. 相似文献
3.
Choonkil Park 《Journal of Mathematical Analysis and Applications》2007,327(1):101-115
In this paper, we prove the Hyers-Ulam-Rassias stability of homomorphisms in C∗-ternary algebras and of derivations on C∗-ternary algebras for the following Cauchy-Jensen additive mappings:
(0.1) 相似文献
4.
We shall generalize the results of [9] about characterization of isomorphisms on quasi-Banach algebras by providing integral type conditions. Also, we shall give some new results in this way and finally, give a result about hybrid fixed point of two homomorphisms on quasi-Banach algebras. 相似文献
5.
In this paper we prove the generalized Hyers-Ulam-Rassias stability of extended derivations on unital Banach algebras associated to a generalized Jensen equation. 相似文献
6.
Abbas Najati 《数学学报(英文版)》2009,25(9):1529-1542
In this paper, we prove the generalized Hyers-Ulam stability of homomorphisms in quasi- Banach algebras associated with the following Pexiderized Jensen functional equation
f(x+y/2+z)-g(x-y/2+z)=h(y).
This is applied to investigating homomorphisms between quasi-Banach algebras. The concept of the generalized Hyers-Ulam stability originated from Rassias' stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72, 297-300 (1978). 相似文献
f(x+y/2+z)-g(x-y/2+z)=h(y).
This is applied to investigating homomorphisms between quasi-Banach algebras. The concept of the generalized Hyers-Ulam stability originated from Rassias' stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72, 297-300 (1978). 相似文献
7.
Miroslav Novotný 《Czechoslovak Mathematical Journal》2002,52(2):345-364
A construction of all homomorphisms of an algebra with a finite number of operations into an algebra of the same type is presented that consists in replacing algebras by suitable mono-unary algebras (possibly with some nullary operations) and their homomorphisms by suitable homomorphisms of the corresponding mono-unary algebras. Since a construction of all homomorphisms between two mono-unary algebras is known (see, e.g., [6], [7], [8]), a construction of all homomorphisms of an arbitrary algebra with a finite number of operations into an algebra of the same type can be described. 相似文献
8.
In this paper, we prove the Hyers-Ulam-Rassias stability of isometric homomorphisms in proper CQ*-algebras for the following Cauchy-Jensen additive mapping: 2f[(x1+x2)/2+y]=f(x1)+f(x2)+2f(y) The concept of Hyers-Ulam-Rassias stability originated from the Th.M. Rassias' stability theorem that appeared in the paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72 (1978), 297-300. This is applied to investigate isometric isomorphisms between proper CQ*-algebras. 相似文献
9.
Using fixed point methods, we prove the Hyers-Ulam-Rassias stability and superstability of Jordan homomorphisms (Jordan *-homomorphisms), and Jordan derivations (Jordan *-derivations) on Banach algebras (C*-algebras) for the generalized Jensen-type functional equationwhere r is a fixed positive real number in (1, ∞). 相似文献
10.
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
11.
Miroslav Novotný 《Czechoslovak Mathematical Journal》2006,56(2):389-402
Mono-unary algebras may be used to construct homomorphisms, subalgebras, and direct products of algebras of an arbitrary type. 相似文献
12.
Using the fixed point method, we prove the generalized Ulam-Hyers stability of random homomorphisms in random normed algebras associated with the Cauchy functional equation. 相似文献
13.
Miroslav Novotný 《Czechoslovak Mathematical Journal》2002,52(2):415-428
A construction of all homomorphisms of a heterogeneous algebra into an algebra of the same type is presented. A relational structure is assigned to any heterogeneous algebra, and homomorphisms between these relational structures make it possible to construct homomorphisms between heterogeneous algebras. Homomorphisms of relational structures can be constructed using homomorphisms of algebras that are described in [11]. 相似文献
14.
Hassan Azadi Kenary 《Rendiconti del Circolo Matematico di Palermo》1936,60(1-2):59-68
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. 72:297–300, 1978. Recently, the generalized Hyers-Ulam-Rassias stability of the following quadratic functional equation
$$f(x+y)+f(x-y)=2f(x)+2f(y)$$ 相似文献
15.
In this paper we study the category of hyper MV‐algebras and we prove that it has a terminal object and a coequalizer. We show that Jia's construction can be modified to provide a free hyper MV‐algebra by a set. We use this to show that in the category of hyper MV‐algebras the monomorphisms are exactly the one‐to‐one homomorphisms. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
16.
The authors prove the Hyers-Ulam-Rassias stability of the quadratic mapping in Banach modules over a unital C*-algebra, and prove the Hyers-Ulam-Rassias stability of the quadratic mapping in Banach modules over a unital Banach algebra. 相似文献
17.
F. Behrouzi 《Proceedings Mathematical Sciences》2002,112(2):331-336
In this note, we study homomorphisms with domainD
n(X) orLipα(X, d) of which ranges are certain Banach function algebras and determine in which cases these homomorphisms are compact. 相似文献
18.
Jaeyoung Chung 《Journal of Mathematical Analysis and Applications》2006,324(2):1449-1457
Generalizing the Hyers-Ulam-Rassias stability theorem [Th.M. Rassias, On the stability of linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978) 297-300] to the space of Schwartz distributions, we introduce a concept of approximately additive Schwartz distributions and prove that every approximately additive distribution can be approximated by linear functions. 相似文献
19.
Wojciech Chojnacki 《Proceedings of the American Mathematical Society》1998,126(2):491-497
We show that a theorem of Kisynski on the generation of Banach-algebra homomorphisms of certain convolution algebras is equivalent to the Hille-Yosida theorem on the generation of operator-valued one-parameter semigroups.
20.
利用已知的代数的同调满同态来构造其张量积代数的同调满同态.设A,B,C,D是域k上的有限维代数,如果环同态f:A→C和g:B→D是环的同调满同态,则fg:AB→CD也是环的同调满同态. 相似文献