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Algebraic Andô Dilation

Published 6 Oct 2022 in math.FA | (2210.11310v1)

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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