On non-holomorphic functional calculus for commuting operators

被引：1

作者：

Sandberg, S ^{[1
]}

机构：

[1] Chalmers Univ Technol, Dept Math, SE-41296 Gothenburg, Sweden

[2] Univ Gothenburg, SE-41296 Gothenburg, Sweden

来源：

MATHEMATICA SCANDINAVICA | 2003年 / 93卷 / 01期

关键词：

D O I：

10.7146/math.scand.a-14416

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a general scheme to extend Taylor's holomorphic functional calculus for several commuting operators to classes of non-holomorphic functions. These classes of functions will depend on the growth of the operator valued forms that define the resolvent cohomology class. The proofs are based on a generalization of the so-called resolvent identity to several commuting operators.

引用

页码：109 / 135

页数：27

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