Improved Young and Heinz operator inequalities for unitarily invariant norms
نویسندگان
چکیده
منابع مشابه
Inequalities for unitarily invariant norms
This paper aims to discuss some inequalities for unitarily invariant norms. We obtain several inequalities for unitarily invariant norms.
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Let 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. AMS classification: 15A60, 15A45
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ژورنال
عنوان ژورنال: Mathematica Slovaca
سال: 2020
ISSN: 1337-2211,0139-9918
DOI: 10.1515/ms-2017-0363