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算子自同构

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We discuss the relation between elementary maps and ring isomorphisms, andwe give a characterization of elementary maps on stndard operator algebras on Banachspaces, JSL-algebras and nest algebras. For Jordan-triple elementeary maps, we provetheir additivity on a class of ring and show a relation of them with Jordan isomorphisms. Furthermore. we describe the Jordan elementary maps on standard operator algebrasand nest algebras. We also study the semi-Jordan elementary maps on effect algebrasand the space of self adjoint operators.

研究了算子代数上的初等映射和环同构的关系,完全刻画了Banach空间上标准算子代数,JSL代数和套代数上的初等映射;讨论了Jordan-triple初等映射的可加性以及它和Jordan同构的关系,进而完全刻画了Banach空间上标准算子代数和套代数上的Jordan-triple初等映射;刻画了效应代数和自伴算子空间上的semi-Jordan初等映射。

The fundamental problem of the geometry of matrices can be interpreted as a theorem on graph automorphism of the graph on a certain kind of matrices, and it also has practical application in the linear preserver problems which are the research area in matrix and operator theory.

矩阵几何的基本定理也可以叙述为图论中的图的自同构定理;并且它在矩阵和算子的保持问题中有很好的应用。

Lastly,Using the extension theory of〓-algebras founded and developed by Brown-Douglas-Fillmore in 70s,inparticular,using the homotopy invariance of the extensions and the indexformule of Toeplitz operator matrices,the paper characterized the automorphismgroup of the continuous function symbol Toeplitz 〓-algebra in terms of thetopological degrees of the continuous mappings on the n-dimensional sphere.

最后,本文利用Brown-Douglas-Fillmore在七十年代建立并发展起来的C*-代数扩张理论,尤其是扩张的同伦不变性,以及Toeplitz算子矩阵的指标公式,通过球面上连续映射的拓扑度,刻划了高维球面Hardy空间上连续符号Toeplitz 〓代数的自同构群。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。

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双标记神经干细胞的增殖、分化活力与未标记神经干细胞相比无改变。