Double operator integrals and their estimates in the uniform norm

被引：0

作者：

Farforovskaya Yu.B.

机构：

来源：

Journal of Mathematical Sciences | 1998年 / 92卷 / 1期

关键词：

Lipschitz Function; Lipschitz Constant; Nonlinear Estimate; Entire Real Line; Finite Spectrum;

D O I：

10.1007/BF02440150

中图分类号：

学科分类号：

摘要：

In this paper, conditions are considered for the existence of the double operator integral ∫∫ φ(λ,μ)dEλTdFμ, where Eλ, Fμ are the spectral functions of two self-adjoint operators A, B on a Hilbert space and T is a bounded operator. In principal, the case where A has finite spectrum is studied. Nonlinear estimates of ||f(A)T-Tf(B)|| in terms of the norm of ||AT-TB|| for f ∈ Lip 1 are deduced. Also, a formula for the Fréchet derivative is presented. Bibliography: 16 titles. © 1998 Plenum Publishing Corporation.

引用

页码：3640 / 3656

页数：16

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