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

2003/12/09 by Christopher King, King, Christopher, Michael Nathanson +1
Computer Science · Mathematics · #Advanced Operator Algebra Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Matrix Theory and Algorithms #math.CA

paper · pdf · doi:10.48550/arxiv.math/0312194

arxiv created 2003/12/09 · openalex publication_date 2003/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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