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- W2950829437 abstract "We present several operator and norm inequalities for Hilbert space operators. In particular, we prove that if $A_{1},A_{2},...,A_{n}in {mathbb B}({mathscr H})$, then [|||A_{1}A_{2}^{*}+A_{2}A_{3}^{*}+...+A_{n}A_{1}^{*}|||leq|||sum_{i=1}^{n}A_{i}A_{i}^{*}|||,] for all unitarily invariant norms. We also show that if $A_{1},A_{2},A_{3},A_{4}$ are projections in ${mathbb B}({mathscr H})$, then &&|||(sum_{i=1}^{4}(-1)^{i+1}A_{i})oplus0oplus0oplus0|||&leq&|||(A_{1}+|A_{3}A_{1}|)oplus (A_{2}+|A_{4}A_{2}|)oplus(A_{3}+|A_{1}A_{3}|)oplus(A_{4}+|A_{2}A_{4}|)||| for any unitarily invariant norm." @default.
- W2950829437 created "2019-06-27" @default.
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- W2950829437 date "2011-01-20" @default.
- W2950829437 modified "2023-09-25" @default.
- W2950829437 title "Unitarily invariant norm inequalities for operators" @default.
- W2950829437 cites W1722127378 @default.
- W2950829437 doi "https://doi.org/10.48550/arxiv.1101.3895" @default.
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