希尔伯特空间算子的数值域半径不等式
Numerical Radius Inequalities for Hilbert Space Operators
摘要: 算子数值域半径不等式在算子论的研究中有着很重要的作用。本文利用Bohr不等式和Young不等式得到一些Hilbert空间中的算子数值域半径不等式,同时和文献中的已知结果做了一些对比。
Abstract: Inequalities of numerical radius play an important role in operator theory. In the present paper, we obtain some numerical radius refinements of inequalities for operators acting on a Hilbert space by using the Bohr and Young inequalities. We also compare our results with some known results.
文章引用:任林源. 希尔伯特空间算子的数值域半径不等式[J]. 理论数学, 2022, 12(10): 1564-1570. https://doi.org/10.12677/PM.2022.1210169

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