论文标题
扰动通勤操作员的功能
Functions of perturbed commuting dissipative operators
论文作者
论文摘要
本文的主要目的是获得操作员差异规范的尖锐Lipschitz类型估计$ f（l_1，m_1）-f（l_2，m_2）$ pairs $ $（l_1，m_1）$和$（l_2，m_2，m_2，m_2，m_2，m_2）$通勤通勤最大消散运算师。为了获得此类估计，我们使用双运算符积分，以与对$（L_1，M_1）$和$（L_2，M_2）$相关的半光谱度量。请注意，与两个通勤收缩的功能相比，这种情况要复杂得多，并且要克服我们必须详细阐述新技术的困难。我们从主要结果Hölder类型估计值估计值及其在Schatten-von Neumann Norms中的估计中得出。
The main objective of the paper is to obtain sharp Lipschitz type estimates for the norm of operator differences $f(L_1,M_1)-f(L_2,M_2)$ for pairs $(L_1,M_1)$ and $(L_2,M_2)$ of commuting maximal dissipative operators. To obtain such estimates, we use double operator integrals with respect to semi-spectral measures associated with the pairs $(L_1,M_1)$ and $(L_2,M_2)$. Note that the situation is considerably more complicated than in the case of functions of two commuting contractions and to overcome difficulties we had to elaborate new techniques. We deduce from the main result Hölder type estimates for operator differences as well as their estimates in Schatten--von Neumann norms.
