INVARIANT SUBSPACES FOR SOME FAMILIES OF UNBOUNDED SUBNORMAL OPERATORSThis work has been prepared while the second named author was a guest of the University of the Saarland as a Humboldt Fellow. He would like to express his gratitude to the Alexander von Humboldt-Foundation for its support and to the University of the Saarland for its hospitality.
ALBRECHT, E.; VASILESCU, F.-H.; ALBRECHT E.; Universität des Saarlandes; VASILESCU F.-H.; Université des Sciences et Technologies de Lille
Журнал:
Glasgow Mathematical Journal
Дата:
2003
Аннотация:
Extending results and methods of Thomson and Trent, we prove the existence of non trivial quasi-invariant subspaces for subnormal families of unbounded operators having sufficiently rich domains. In some special cases, proper invariant subspaces are obtained.
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