摘要
引入并研究了C*-代数中两个正定元a与b的α-幂几何平均gα(a,b)与广义谱几何平均Eα(a,b),且由此证明了一系列相关的性质和定理.这也是对C*-代数中两个正定元a与b的谱几何平均的推广与延拓.
The α - power geometric mean ga (a, b) and generalized spectral geometric mean Ea (a, b) of two positive definite elements a and b in a C^* - algebra is introduced. Some relative properties and theories are proved. The spectral geometric mean of two positive definite elements a and b in a C^* - algebra is generalized as well.
出处
《东华大学学报(自然科学版)》
CAS
CSCD
北大核心
2007年第5期598-601,共4页
Journal of Donghua University(Natural Science)
关键词
C^*-代数
正定元
α-幂几何平均
广义谱几何平均
C^* - algebra
positive definite element
α - power geometric mean
generalized spectral geometric mean