Article
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Algebraic Ando Dilation
Version 1
: Received: 6 October 2022 / Approved: 7 October 2022 / Online: 7 October 2022 (11:54:57 CEST)
How to cite: KRISHNA, K.M. Algebraic Ando Dilation. Preprints 2022, 2022100079. https://doi.org/10.20944/preprints202210.0079.v1 KRISHNA, K.M. Algebraic Ando Dilation. Preprints 2022, 2022100079. https://doi.org/10.20944/preprints202210.0079.v1
Abstract
We solve the And\^{o} dilation problem for linear maps on vector space asked by Krishna and Johnson in \textit{[Oper. Matrices, 2022]}. More precisely, we show that any commuting linear maps on vector space can be dilated to commuting injective linear maps.
Keywords
Dilation; And\^{o} dilation; vector space; linear map
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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