H∞ functional calculus for sectorial and bisectorial operators

被引：10
|
作者：
Dore, G [1 ]
Venni, A [1 ]
机构：
[1] Univ Bologna, Dipartmento Matemat, I-40127 Bologna, Italy
来源：
STUDIA MATHEMATICA | 2005年 / 166卷 / 03期
关键词：
functional calculus; sectorial operators;
D O I：
10.4064/sm166-3-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a concise exposition of the basic theory of H functional calculus for N-tuples of sectorial or bisectorial operators, with respect to operator-valued functions; moreover we restate and prove in our setting a result of N. Kalton and L. Weis about the boundedness of the operator f (T(1),...,T(N)) when f is an R-bounded operator-valued holomorphic function.
引用
收藏
页码：221 / 241
页数：21
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