【摘要】 讨论实Banach*代数的Jordan同态.在预备中,给出引理的证明,通过引入理想、同态、半单射的定义,借用引理的证明方法和分类讨论的方法,对文中的定理予以证明并得出相应的结论.结果表明映射到*-半单实Banach*代数上的Jordan*同态是连续的,且其核空间是闭*理想;由映射到交换实Banach*代数上的Jordan*同态诱导的因子代数也是交换的.更多还原

【Abstract】 The Jordan* Homomorphism of real Banach* algebras is discussed.In the introduction,I have proved the lemma.By the definitions of ideal,homomorphism,semi-simple,one proved the theorem.And a set of conclusions is obtained.The results are that Jordan* homomorphism of semi-simple onto real Banach* algebras is continue,the kernel is a closed* ideal,and if *semi-simple onto real Banach* algebras is commutative,then the factor algebra is also commutative.更多还原