TY - JOUR ID - Piwowarczyk2016 LB - Piwowarczyk2016 AU - Piwowarczyk, Kamila AU - Ptak, Marek TI - 2-hyperreflexivity and hyporeflexivity of power partial isometries ST - 2-hyperreflexivity and hyporeflexivity of power partial isometries JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2016 VL - 36 IS - 6 SP - 799 EP - 806 DO - http://dx.doi.org/10.7494/OpMath.2016.36.6.799 UR - http://dx.doi.org/10.7494/OpMath.2016.36.6.799 AB - 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. KW - power partial isometry KW - reflexive subspace KW - hyperreflexive subspace KW - hyperreflexive operator KW - hyporeflexive algebra SN - 1232-9274 ER -