On left and right decomposably regular operators
type: Item
instance of: scholarly article
title: On left and right decomposably regular operators
zbMATH Open document ID: 1288.47017
author: Shifang Zhang
author: Huaijie Zhong
author: Qingping Zeng
published in: Banach Journal of Mathematical Analysis
publication date: 2013-03-20T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.bjma/1358864547
review text: The authors define left and right decomposably Fredholm operators as well as left and right decomposably regular operators. They generalize various properties of decomposably Fredholm operators and decomposably regular operators to their classes of maps. The results concern mainly connections and relations between respective sets of operators, their closures and interiors in the space of bounded linear maps. Analogous facts are proved for holomorphically left and right decomposably regular operators and for holomorphically left and right decomposably Fredholm operators.
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47A05
zbMATH DE Number: 6147118
zbMATH Keywords: bounded linear operator
zbMATH Keywords: decomposable operator
zbMATH Keywords: left (right) invertible operator
zbMATH Keywords: Banach spaces
zbMATH Keywords: generalized inverse
zbMATH Keywords: left decomposably regular operators
zbMATH Keywords: left decomposably Fredholm operators
zbMATH Keywords: topological interior
reviewed by: Dorota Gabor
MaRDI profile type: Publication
OpenAlex ID: W2019267142
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DOI: 10.15352/BJMA/1358864547
description: scientific article; zbMATH DE number 6147118