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

页码：221 / 241

页数：21

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