E A（n）型空间线性等距算子的表现形式

摘要

In the paper, by the use of dual methods of conjugate, we promote this conclusion on the eigenvalues of linear isometry in Hilbert space to E(n) Type Banach Spaces firstly, with this result, and then we got the representation theorem of isometric linear operators in EA(n) Type Banach spaces, this result is new. Finally, we also used the representation theorem to obtain a necessary and sufficient condition of Tingley issues in E(n) the space.%利用共轭对偶化方法，首先将n维欧氏空间线性等距算子特征根的相关结果推广到 E(n)型 Banach 空间，然后获得了 E A(n)型 Banach 空间等距线性算子的表现定理，利用表现定理得到了E A(n)空间中Tingley问题成立的充要条件。