结论算子范数对于估计有界线性算子乘积与和的谱半径是至关重要的。
Conclusion Norm of operator is very important to estimate the spectral radius of operator.
第二章的内容是算子不等式及范数不等式。
The contents of the second chapter are operator inequalities and norm inequalities.
本文讨论了两个特殊的初等算子的本性范数。
The essential norm of two special elementary operators is discussed in this paper.
在第二章中，作者以谱分解、函数演算等为工具，给出一些重要的算子不等式与范数不等式。
In this chapter, we give some operator inequalities and norm inequalities by means of spectral decomposition and functional calculus.
结论推广了线性算子半群的范数连续性质保持，丰富和完善了非线性算子半群的理论。
The result derived extends persistence of norm continuity of linear strongly continuous semigroups and enriches theory of semigroups of nonlinear operators.
本文刻划了保矩阵范数的两类线性算子的结构。
讨论描述希尔伯特空间最终范数连续半群特征的一个算子方程的解，给出这个解的一个显式表达式。
A new perturbation result on the Hilbert space for the eventually norm-continuous semigroups is obtained, which makes the perturbation of the semigroups more abundant.
讨论描述希尔伯特空间最终范数连续半群特征的一个算子方程的解，给出这个解的一个显式表达式。
A new perturbation result on the Hilbert space for the eventually norm-continuous semigroups is obtained, which makes the perturbation of the semigroups more abundant.
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