Zero products of Toeplitz operators

Aleman, Alexandru; Vukotić, Dragan

Duke Math. J., Tome 146 (2009) no. 1, p. 373-403 / Harvested from Project Euclid

Résumé

We prove that the product of finitely many Toeplitz operators on the Hardy space is zero if and only if at least one of the operators is zero. We use some new vector-valued techniques that not only lead to a vector-valued version of this result but also appear to be needed in the scalar case

Publié le : 2009-06-15
Classification: 47B35, 30H05

@article{1245350752,
     author = {Aleman, Alexandru and Vukoti\'c, Dragan},
     title = {Zero products of Toeplitz operators},
     journal = {Duke Math. J.},
     volume = {146},
     number = {1},
     year = {2009},
     pages = { 373-403},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1245350752}
}

Aleman, Alexandru; Vukotić, Dragan. Zero products of Toeplitz operators. Duke Math. J., Tome 146 (2009) no. 1, pp.  373-403. http://gdmltest.u-ga.fr/item/1245350752/