Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula

被引：11

作者：

Andersson, M

Sjöstrand, J

机构：

[1] Ecole Polytech, Ctr Math, FR-91128 Palaiseau, France

[2] Chalmers Univ Technol, Dept Math, SE-41296 Gothenburg, Sweden

[3] Univ Gothenburg, SE-41296 Gothenburg, Sweden

[4] CNRS, UMR 7640, F-75700 Paris, France

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2004年 / 210卷 / 02期

关键词：

functional calculus; spectrum; non-commuting operators;

D O I：

10.1016/S0022-1236(03)00141-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a smooth functional calculus for a non-commuting tuple of (unbounded) operators A(j) on a Banach space with real spectra and resolvents with temperate growth, by means of an iterated Cauchy formula. The construction is also extended to tuples of more general operators allowing smooth functional calculii. We also discuss the relation to the case with commuting operators. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：341 / 375

页数：35

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