Algebraic Andô dilation
Filomat, Tome 37 (2023) no. 22, p. 7401

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DOI

We solve the Andô dilation problem for linear maps on a vector space asked by Krishna and Johnson in [Oper. Matrices, 2022]. More precisely, we show that any commuting linear maps on vector spaces can be dilated to commuting injective linear maps.
DOI : 10.2298/FIL2322401M
Classification : 47A20, 15A03, 15A04
Keywords: Dilation, Andô dilation, Vector space, Linear map
K Mahesh Krishna. Algebraic Andô dilation. Filomat, Tome 37 (2023) no. 22, p. 7401 . doi: 10.2298/FIL2322401M
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     title = {Algebraic {And\^o} dilation},
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     doi = {10.2298/FIL2322401M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2322401M/}
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