期刊论文详细信息
African Journal of Mathematics and Computer Science Research | |
Moore-Penrose inverse of linear operators in Hilbert space | |
article | |
J. M. Mwanzia1  M. Kavila1  J. M. Khalagai2  | |
[1]Department of Mathematics and Actuarial Science, Kenyatta University | |
[2]School of Mathematics, University of Nairobi | |
关键词: Moore-Penrose inverse; perturbed linear operator; invertibility of operators.; | |
DOI : 10.5897/AJMCSR2022.0919 | |
学科分类:计算机科学(综合) | |
来源: Academic Journals | |
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【 摘 要 】
In this paper, we investigate properties of with closed range satisfying the operator equations In particular, we investigate the invertibility of with closed range where the Moore-Penrose inverse of T turns out to be the usual inverse of T under some classes of operators. We also deduce the Moore-Penrose inverse of a perturbed linear operator with closed range where such that has closed ranges and satisfying some given conditions. The relation between the ranges and null spaces of these operators is also shown.【 授权许可】
CC BY
【 预 览 】
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