# Contractive maps on operator ideals and norm inequalities II

@article{Aggarwal2017ContractiveMO,
title={Contractive maps on operator ideals and norm inequalities II},
author={A. Aggarwal and Y. Kapil and Mandeep Singh},
journal={Linear Algebra and its Applications},
year={2017},
volume={459},
pages={182-200}
}
• Published 2017
• Mathematics
• Linear Algebra and its Applications
Abstract Let ( 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 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.
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