2014/10/20 by Minghua Lin, Lin, Minghua
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA
paper · pdf · doi:10.48550/arxiv.1410.5143
8 pages
arxiv created 2014/10/20 · arxiv updated 2014/10/21
Let T=\beginbmatrix X &Y 0 & Z\endbmatrix be an n-square matrix, where X, Z are r-square and (n-r)-square, respectively. Among other determinantal inequalities, it is proved det(In+T^*T)≥ det(Ir+X^*X)⋅ det(In-r+Z^*Z) with equality holds if and only if Y=0.