Algebraic Andô dilation
Filomat, Tome 37 (2023) no. 22, p. 7401
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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.
Classification :
47A20, 15A03, 15A04
Keywords: Dilation, Andô dilation, Vector space, Linear map
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
@article{10_2298_FIL2322401M,
author = {K Mahesh Krishna},
title = {Algebraic {And\^o} dilation},
journal = {Filomat},
pages = {7401 },
year = {2023},
volume = {37},
number = {22},
doi = {10.2298/FIL2322401M},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2322401M/}
}
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