<p>In this paper, we establish various symmetric norm inequalities and logarithmic majorization inequalities for sectorial operators in finite von Neumann algebras. Our results generalize the corresponding matrix inequalities.</p>

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Some Extensions of Inequalities for Sectorial Operators in Finite Von Neumann Algebras

  • Yun Li,
  • Yazhou Han,
  • Lei Xu

摘要

In this paper, we establish various symmetric norm inequalities and logarithmic majorization inequalities for sectorial operators in finite von Neumann algebras. Our results generalize the corresponding matrix inequalities.