An approach to operator Dunkl-Williams inequalities

作者：Dadipour Farzad^*; Moslehian Mohammad Sal

来源：Publicationes Mathematicae-Debrecen, 2011, 79(1-2): 109-118.

DOI：10.5486/PMD.2011.4936

• operator inequality
• Dunkl-Williams inequality
• p-angular distance
• Hilbert C*-module
• norm inequality
• Q-norm

We prove several operator versions of the Dunkl-Williams inequality and discuss the case when equality holds in a new approach. We mainly present some necessary and sufficient conditions for the case where equality holds. We also deduce some norm inequalities and get a generalization of the Dunkl-Williams inequality in the framework of Hilbert C*-modules.

• 出版日期2011-7