On Intertwining and Quasi-Affine Sets of Operators

In this paper, we investigate some intertwining sets and quasi-affine sets of some classes of operators in Hilbert spaces. We are interested in the intertwining relation of the form WX = XR, where W, R are some bounded linear operators and X is an arbitrary bounded linear operator which we will endow some special properties. 2010 Mathematics Subject Classification: Primary 47A05,47A11; Secondary 47B20,47A65

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Publication Details

Journal
IOSR Journal of Mathematics
Published
2024-10-01
DOI
https://doi.org/10.9790/5728-2005010109
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

On Intertwining and Quasi-Affine Sets of Operators

Stephen Wanyonyi Luketero, S.K Moindi, BM Nzimbi
IOSR Journal of Mathematics
Differential Equations and Boundary Problems
article

On Intertwining and Quasi-Affine Sets of Operators

Stephen Wanyonyi Luketero, S.K Moindi, BM Nzimbi
article en

Abstract

In this paper, we investigate some intertwining sets and quasi-affine sets of some classes of operators in Hilbert spaces. We are interested in the intertwining relation of the form WX = XR, where W, R are some bounded linear operators and X is an arbitrary bounded linear operator which we will endow some special properties. 2010 Mathematics Subject Classification: Primary 47A05,47A11; Secondary 47B20,47A65

IOSR Journal of MathematicsVol. 20(5)
University of Nairobi (KE)
Openalex Percentile: Top 68%
Differential Equations and Boundary Problems
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On Intertwining and Quasi-Affine Sets of Operators — Stephen Wanyonyi Luketero, S.K Moindi, et al. · IOSR Journal of Mathematics (2024) | TGRS Research Map | TGRS