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On a norm inequality for a positive block-matrix

Published 1 Aug 2018 in math.FA | (1808.00181v1)

Abstract: For a positive semidefinite matrix $H= \begin{bmatrix} A&X\ X{*}&B \end{bmatrix} $, we consider the norm inequality $ ||H||\leq ||A+B|| $. We show that this inequality holds under certain conditions. Some related topics are also investigated.

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Authors (1)

  1. Tomohiro Hayashi 

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