Decomposition of meromorphic Fredholm resolvents and \(\Psi^*\)-algebras
type: Item
instance of: scholarly article
title: Decomposition of meromorphic Fredholm resolvents and \(\Psi^*\)-algebras
zbMATH Open document ID: 0692.47013
DOI: 10.1007/BF01199755
author: Winfried Kaballo
author: Bernhard Gramsch
published in: Integral Equations and Operator Theory
publication date: 1989-01-01T00:00:00Z
review text: The authors consider meromorphic resolvents of analytic (semi-) Fredholm operator functions M on (Stein) regions in \({\mathbb{C}}^ N\). The main problem is a decomposition \(M=A+S\) where A is holomorphic and S is meromorphic with special properties. Previous results are due to \textit{B. Gramsch} [Math. Z. 133, 219-242 (1973; Zbl 0254.47043)] and (sharpened) \textit{H. Bart}, \textit{W. Kaballo} and \textit{G. P. A. Thiejsse} [Integral equations Oper. Theory 3, 1-22 (1980; Zbl 0435.47023)]. The paper presents a further sharpened decomposition theorem, in some sense, pointed out in the paper, a best possible result.
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47D99
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 4132944
zbMATH Keywords: meromorphic resolvents of analytic (semi-) Fredholm operator functions on (Stein) regions
zbMATH Keywords: decomposition theorem
reviewed by: Hellmut Baumgärtel
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4132944