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
收藏
页码：60 / 68
页数：9
相关论文
共 50 条
12345