New trace norm inequalities for 2 × 2 blocks of diagonal matrices
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/ Abstract
Abstract Several new trace norm inequalities are established for 2 n ×2 n block matrices, in the special case where the four n × n blocks are diagonal. Some of the inequalities are noncommutative analogs of Hanner's inequality, others describe the behavior of the trace norm under re-ordering of diagonal entries of the blocks.
Journal: Linear Algebra and its Applications