Transitivity for linear operators on a Banach space
Yood, Bertram
Studia Mathematica, Tome 133 (1999), p. 239-243 / Harvested from The Polish Digital Mathematics Library
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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 x1,…,xn and y1,…,yn are any two sets of linearly independent elements of X with the same number of items, then there exists T ∈ G so that T(xk)=yk, k=1,…,n. We prove that some proper multiplicative subgroups of G have this property.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216597 
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     title = {Transitivity for linear operators on a Banach space},
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     year = {1999},
     pages = {239-243},
     zbl = {0943.47001},
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Yood, Bertram. Transitivity for linear operators on a Banach space. Studia Mathematica, Tome 133 (1999) pp. 239-243. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv132i3p239bwm/

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