$2$--hyperreflexivity and hyporeflexivity of power partial isometries
Kamila Piwowarczyk, Marek Ptak
TL;DR
This paper investigates the reflexivity properties of power partial isometries, demonstrating that they are always hyporeflexive and 2-hyperreflexive, despite not always being hyperreflexive or reflexive.
Contribution
It establishes that power partial isometries are inherently hyporeflexive and 2-hyperreflexive, expanding understanding of their operator-theoretic properties.
Findings
Power partial isometries are not always hyperreflexive.
Power partial isometries are always hyporeflexive.
Power partial isometries are always 2-hyperreflexive.
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 --hyperreflexive.
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Taxonomy
TopicsAdvanced Topics in Algebra · Holomorphic and Operator Theory · Rings, Modules, and Algebras