Non Commutative Functional Calculus: Bounded Operators

被引：28
|
作者：
Colombo, Fabrizio [1 ]
Gentili, Graziano [2 ]
Sabadini, Irene [1 ]
Struppa, Daniele C. [3 ]
机构：
[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy
[2] Univ Florence, Dipartimento Matemat, Florence, Italy
[3] Chapman Univ, Dept Math & Comp Sci, Orange, CA 92866 USA
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2010年 / 4卷 / 04期
关键词：
Functional calculus; Spectral theory; Bounded operators; REGULAR FUNCTIONS;
D O I：
10.1007/s11785-009-0015-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we develop a functional calculus for bounded operators defined on quaternionic Banach spaces. This calculus is based on the new notion of slice-regularity, see Gentili and Struppa (Acad Sci Paris 342:741-744, 2006) and the key tools are a new resolvent operator and a new eigenvalue problem.
引用
收藏
页码：821 / 843
页数：23
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