journal article
oaidoi:10.1016/j.laa.2003.08.006

Submultiplicativity vs subadditivity for unitarily invariant norms

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Publication date
15 January 2004
Publisher
Elsevier Inc.
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    Abstract

    AbstractLet A,B be nonzero positive semidefinite matrices. We prove that∥AB∥∥A∥∥B∥⩽∥A+B∥∥A∥+∥B∥,∥A∘B∥∥A∥∥B∥⩽∥A+B∥∥A∥+∥B∥for any unitarily invariant norm with ∥diag(1,0,…,0)∥⩾1. Some related inequalities are derived

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