Algebraic And\^{o} Dilation
Functional Analysis
2024-07-08 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.
Cite
@article{arxiv.2210.11310,
title = {Algebraic And\^{o} Dilation},
author = {K. Mahesh Krishna},
journal= {arXiv preprint arXiv:2210.11310},
year = {2024}
}
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5 Pages, 0 Figures