Geodesic
DECOMPOSITIONS OF COUNTABLE LINEAR TRANSFORMATIONS
Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 427-433

Voir la notice de l'article provenant de la source Cambridge University Press

Let V be a countably generated right vector space over a division ring D. If D ≇ Z/2Z, Z/3Z, then for any γ ∈ EndD(V), there exists α ∈ AutD(V) such that γ+α, γ−α−1 ∈ AutD(V). This gives a generalization of [D. Zelinsky, Proc. Amer. Math. Soc. 5 (1954), 627–630, Theorem]. 
CHEN, HUANYIN. DECOMPOSITIONS OF COUNTABLE LINEAR TRANSFORMATIONS. Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 427-433. doi: 10.1017/S0017089510000121
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