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
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
收藏
页码:109 / 135
页数:27
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