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arxiv: math/0312194 · v1 · submitted 2003-12-09 · 🧮 math.CA

New trace norm inequalities for 2 x 2 blocks of diagonal matrices

classification 🧮 math.CA
keywords blocksdiagonalinequalitiesnormtracematricesanalogsbehavior
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Several new trace norm inequalities are established for 2n x 2n block matrices, in the special case where the four n x n blocks are diagonal. Some of the inequalities are non-commutative analogs of Hanner's inequality, others describe the behavior of the trace norm under re-ordering of diagonal entries of the blocks.

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