Title of article :
Submultiplicativity vs subadditivity for unitarily invariant norms
Author/Authors :
Fumio Hiai، نويسنده , , Xingzhi Zhan، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Abstract :
Let A,B be nonzero positive semidefinite matrices. We prove that for any unitarily invariant norm with diag(1,0,…,0) 1. Some related inequalities are derived.
Keywords :
unitarily invariant norm , Positive semidefinite matrix , Submultiplicativity , Hadamard product , majorization , Matrix Young inequality , Subadditivity
Journal title :
Linear Algebra and its Applications
Journal title :
Linear Algebra and its Applications
