Geodesic
Transitive Vector Spaces of Bounded Operators
Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 381-384

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

The linear subspace S of B(X, Y), the space of bounded operators from the Banach space X to the Banach space Y, is said to be transitive if Sx is dense in Y for all x ≠ 0. We give a number of conditions, involving operators intertwined by S, which imply that S is not transitive, and conditions which, when X = Y, imply that the commutant of S is also not transitive.
DOI : 10.4153/CMB-1984-058-8
Mots-clés : 47A15, 47D15 
Grabiner, Sandy. Transitive Vector Spaces of Bounded Operators. Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 381-384. doi: 10.4153/CMB-1984-058-8
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