AI 中文总结
研究任意幺正 C* - 代数间有限余秩线性等距同构，借助约旦* - 同态和“有限维余项”刻画，给出 C* - 代数自伴部分相关结果及有限维矩阵代数间线性等距同构新例。
AI 中文摘要
我们根据约旦* - 同态和“有限维余项”对两个任意幺正 C* - 代数之间具有有限余秩的线性等距同构进行了刻画。还给出了 C* - 代数自伴部分之间线性等距同构和线性序嵌入的相应结果。在有限维情形下，给出了矩阵代数之间线性等距同构的新例子。
英文摘要
We give a characterization of linear isometries with finite corank between two arbitrary unital C$^*$-algebras in terms of Jordan $^*$-homomorphisms and ``finite-dimensional remainders''. Also, the corresponding results are given for linear isometries and linear order embeddings between self-adjoint parts of C$^*$-algebras. In the finite-dimensional case, we give new examples of linear isometries between matrix algebras.
Comments32 pages
