The Fredholm Index of Locally Compact Band-dominated Operators on L^p \,(\user2{\mathbb{R}})期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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The Fredholm Index of Locally Compact Band-dominated Operators on L^p \,(\user2{\mathbb{R}})

Authors:	Vladimir S Rabinovich Steffen Roch

Institution:	1. Instituto Politechnico National, ESIME-Zacatenco, Ed.1, 2-do piso, Av. IPN, Mexico, D.F., 07738, Mexico 2. Fachbereich Mathematik, Technische Universit?t Darmstadt, Schlossgartenstrasse 7, D-64289, Darmstadt, Germany

Abstract:	We establish a necessary and sufficient criterion for the Fredholmness of a general locally compact band-dominated operator A on $L^p \,(\user2{\mathbb{R}})$ and solve the long-standing problem of computing its Fredholm index in terms of the limit operators of A. The results are applied to operators of convolution type with almost periodic symbol.

Keywords:	Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 47A53 Secondary 47G10 45E10
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