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

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

2003-12-09

arxiv.org/abs/math/0312194v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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