反对称矩阵空间到全矩阵空间的保反立方幂等线性算子

Skew - tripotent preserving linear operators from skew-symmetric matrix spaces to all matrix spaces

刻画了实数域R上从反对称矩阵空间K2n(R)到全矩阵空间M2n(R)的保反立方幂等的线性算子,以及给出了从反对称矩阵空间K2n(R)到它自身的保反立方幂等的线性算子.

Skew-tripotent preserving linear operators from skew -symmetric matrix spaces K2n（R） to all matrix spaces M2n（R） are characterized, and the skew-tripotent preservers from K2n（R） to K2n（R） are also characterized.