A functional calculus in a noncommutative setting

被引：0

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：

ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES | 2007年 / 14卷

关键词：

functional calculus; spectral theory; bounded and unbounded operators;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we announce the development of a functional calculus for operators defined on quaternionic Banach spaces. The definition is based on a new notion of slice regularity, see [ ], and the key tools are a new resolvent operator and a new eigenvalue problem. This approach allows us to deal both with bounded and unbounded operators.

引用

页码：60 / 68

页数：9

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