Quasinormal Operators and Reflexive Subspaces

Kamila Kliś-Garlicka; Marek Ptak

Quasinormal Operators and Reflexive Subspaces

Kamila Kliś-Garlicka | Marek Ptak

英语. In this note we will show the reflexivity of a weak*-closed subspace generated by any proper subset of {(T*)n, Tn : n ϵ N }, if T is a quasinormal operator. The main tool is a direct integral of subspaces of operators. Relation between the reflexive closure of a direct integral of subspaces and a direct integral of reflexive closure of subspaces is given.

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