Geodesic
Transitivity for linear operators on a Banach space
Studia Mathematica, Tome 132 (1999) no. 3, pp. 239-243

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let G be the multiplicative group of invertible elements of E(X), the algebra of all bounded linear operators on a Banach space X. In 1945 Mackey showed that if $x_1,…,x_n$ and $y_1,…,y_n$ are any two sets of linearly independent elements of X with the same number of items, then there exists T ∈ G so that $T(x_k) = y_k$, $k = 1,…,n$. We prove that some proper multiplicative subgroups of G have this property.
DOI : 10.4064/sm-132-3-239-243

Bertram Yood 1

1 
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Bertram Yood. Transitivity for linear operators on a Banach space. Studia Mathematica, Tome 132 (1999) no. 3, pp. 239-243. doi: 10.4064/sm-132-3-239-243

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