Toute matrice positive écrite en blocs carrés satisfait , où les quantités , , font intervenir la largeur du domaine des valeurs numériques. Ceci étend le théorème principal de Bourin, Mhanna (2017) [4] aux matrices écrites avec un nombre de blocs arbitraire.
Any positive matrix with each block square satisfies the symmetric norm inequality , where () are quantities involving the width of numerical ranges. This extends the main theorem of Bourin and Mhanna (2017) [4] to a higher number of blocks.
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@article{CRMATH_2018__356_7_818_0, author = {Lin, Minghua}, title = {A norm inequality for positive block matrices}, journal = {Comptes Rendus. Math\'ematique}, pages = {818--822}, publisher = {Elsevier}, volume = {356}, number = {7}, year = {2018}, doi = {10.1016/j.crma.2018.05.006}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2018.05.006/} }
TY - JOUR AU - Lin, Minghua TI - A norm inequality for positive block matrices JO - Comptes Rendus. Mathématique PY - 2018 SP - 818 EP - 822 VL - 356 IS - 7 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2018.05.006/ DO - 10.1016/j.crma.2018.05.006 LA - en ID - CRMATH_2018__356_7_818_0 ER -
Lin, Minghua. A norm inequality for positive block matrices. Comptes Rendus. Mathématique, Tome 356 (2018) no. 7, pp. 818-822. doi : 10.1016/j.crma.2018.05.006. http://www.numdam.org/articles/10.1016/j.crma.2018.05.006/
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