Contractive maps on operator ideals and norm inequalities II

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• 作者：Anchal Aggarwal ^{anchal8692@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Yogesh Kapil ; ^{yogesh_kapill@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; Mandeep Singh ^{msrawla@yahoo.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 15A45 ; secondary ; 47A30 ; 47A63 ; 47B10
• 刊名：Linear Algebra and its Applications
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：513
• 期：Complete
• 页码：182-200
• 全文大小：371 K

文摘

Let (I,⦀.⦀)$(\mathcal{I},⦀.⦀)$ be a norm ideal of operators equipped with a unitarily invariant norm ⦀.⦀$⦀.⦀$. We exploit integral representations of certain functions to prove that certain ratios of linear operators acting on operators in I$\mathcal{I}$ are contractive. This leads to some new and old norm inequalities. We also lift a variety of inequalities to the operator setting, which were proved in the matrix setting earlier.