Non-commutative functional calculus: Unbounded operators

被引：10

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：

JOURNAL OF GEOMETRY AND PHYSICS | 2010年 / 60卷 / 02期

关键词：

Functional calculus; Spectral theory; Bounded and unbounded operators; REGULAR FUNCTIONS;

D O I：

10.1016/j.geomphys.2009.09.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a recent work, Colombo (in press) [1], we developed a functional calculus for bounded operators defined on quaternionic Banach spaces. in this paper we show how the results from the above-mentioned work can be extended to the unbounded case, and we highlight the crucial differences between the two cases. In particular, we deduce a new eigenvalue equation, suitable for the construction of a functional calculus for operators whose spectrum is not necessarily real. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：251 / 259

页数：9

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