T. Trent gave a new characterization of subnormality for an operator on a Hilbert space. T. Bînzar and D. Păunescu generalized this condition to commuting triples of operators. Here, we give an n-variable unbounded version of the above results. Theorems of this kind have also been obtained by Z. J. Jabłoński and J. Stochel.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm171-3-2, author = {Olivier Demanze}, title = {Sous-normalit\'e jointe non born\'ee et applications}, journal = {Studia Mathematica}, volume = {166}, year = {2005}, pages = {227-237}, zbl = {1094.47033}, language = {fra}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm171-3-2} }
Olivier Demanze. Sous-normalité jointe non bornée et applications. Studia Mathematica, Tome 166 (2005) pp. 227-237. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm171-3-2/