nearly jordan โ-homomorphisms between unital ๐ถโ-algebras
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ID: 254661
2011
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Abstract
Let ๐ด, ๐ต be two unital ๐ถโ-algebras. We prove that every almost unital almost
linear mapping โ : ๐ดโ๐ต which satisfies โ(3๐๐ข๐ฆ+3๐๐ฆ๐ข)=โ(3๐๐ข)โ(๐ฆ)+โ(๐ฆ)โ(3๐๐ข) for all ๐ขโ๐(๐ด), all ๐ฆโ๐ด, and all ๐=0,1,2,โฆ, is a Jordan homomorphism. Also, for a unital
๐ถโ-algebra ๐ด of real rank zero, every almost unital almost linear continuous mapping โโถ๐ดโ๐ต is a Jordan homomorphism when โ(3๐๐ข๐ฆ+3๐๐ฆ๐ข)=โ(3๐๐ข)โ(๐ฆ)+โ(๐ฆ)โ(3๐๐ข)
holds
for all ๐ขโ๐ผ1
(๐ดsa), all ๐ฆโ๐ด, and all ๐=0,1,2,โฆ. Furthermore, we investigate the Hyers-
Ulam-Aoki-Rassias stability of Jordan โ-homomorphisms between unital ๐ถโ-algebras by using the fixed points methods.
| Reference Key |
ebadian2011abstractnearly
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|---|---|
| Authors | ;A. Ebadian;S. Kaboli Gharetapeh;M. Eshaghi Gordji |
| Journal | science and technology of advanced materials |
| Year | 2011 |
| DOI |
10.1155/2011/513128
|
| URL | |
| Keywords |
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