On weakly transitive operators
Rezaei, Hamid
Proc. Japan Acad. Ser. A Math. Sci., Tome 87 (2011) no. 1, p. 88-90 / Harvested from Project Euclid
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In the present paper, transitivity of a linear operators acting on a reflexive Banach space with the weak topology is investigated. We show any bounded operator, transitive on an open bounded subset of $X$ with the weak topology, is weakly hypercyclic.
Publié le : 2011-05-15
Classification:  Hypercyclic operator,  weighted backward shift,  weak topology,  47A16,  47B37,  46B45 
@article{1303825553,
     author = {Rezaei, Hamid},
     title = {On weakly transitive operators},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {87},
     number = {1},
     year = {2011},
     pages = { 88-90},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1303825553}
}

Rezaei, Hamid. On weakly transitive operators. Proc. Japan Acad. Ser. A Math. Sci., Tome 87 (2011) no. 1, pp.  88-90. http://gdmltest.u-ga.fr/item/1303825553/