An inequality for tensor product of positive operators and its applications

详细信息    查看全文

• 作者：Haixia Chang^a ; ^{hcychang@163.com" class="auth_mail" title="E-mail the corresponding author} ; Vehbi E. Paksoy^b ; ^{vp80@nova.edu" class="auth_mail" title="E-mail the corresponding author} ; Fuzhen Zhang^b ; ^{zhang@nova.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：47A63 ; 15A48
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：1 June 2016
• 年：2016
• 卷：498
• 期：Complete
• 页码：99-105
• 全文大小：255 K

文摘

We present an inequality for tensor product of positive operators on Hilbert spaces by considering the tensor products of operators as words on certain alphabets (i.e., a set of letters). As applications of the operator inequality and by a multilinear approach, we show some matrix inequalities concerning induced operators and generalized matrix functions (including determinants and permanents as special cases).