Perturbation Determinants on Banach Spaces and Operator Differentiability for Hirsch Functional Calculus

被引：0

作者：

Mirotin, A. R. ^{[1
]}

机构：

[1] Francisk Skorina Gomel State Univ, Gomel, BELARUS

来源：

FILOMAT | 2020年 / 34卷 / 04期

关键词：

Perturbation determinant; nonpositive operator; Hirsch functional calculus; Bernstein function; operator monotonic function; operator differentiability; GENERATORS; INTEGRALS;

D O I：

10.2298/FIL2004105M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a perturbation determinant for pairs of nonpositive (in a sense of Komatsu) operators on Banach space with nuclear difference and prove the formula for the logarithmic derivative of this determinant. To this end the Frechet differentiability of operator monotonic (negative complete Bernstein) functions of negative and nonpositive operators on Banach spaces is investigated. The results may be regarded as a contribution to the Hirsch functional calculus.

引用

页码：1105 / 1115

页数：11

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