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

页码：821 / 843

页数：23

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