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Algebraic Ando Dilation

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Submitted:

06 October 2022

Posted:

07 October 2022

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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.
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