2-hyperreflexivity and hyporeflexivity of power partial isometries

Abstract

Power partial isometries are not always hyperreflexive neither reflexive. In the present paper it will be shown that power partial isometries are always hyporeflexive and \(2\)-hyperreflexive.

Keywords

• power partial isometry
• reflexive subspace
• hyperreflexive subspace
• hyperreflexive operator
• hyporeflexive algebra