Opuscula Math. 36, no. 6 (2016), 799-806

Opuscula Mathematica

2-hyperreflexivity and hyporeflexivity of power partial isometries

Kamila Piwowarczyk
Marek Ptak

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.

Mathematics Subject Classification: 47L80, 47L45, 47L05.

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  • Kamila Piwowarczyk
  • Department of Applied Mathematics, University of Agriculture, ul. Balicka 253c, 30-198 Kraków, Poland
  • Marek Ptak
  • Department of Applied Mathematics, University of Agriculture, ul. Balicka 253c, 30-198 Kraków, Poland
  • Communicated by P.A. Cojuhari.
  • Received: 2015-12-11.
  • Accepted: 2016-05-04.
  • Published online: 2016-10-29.
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Cite this article as:
Kamila Piwowarczyk, Marek Ptak, 2-hyperreflexivity and hyporeflexivity of power partial isometries, Opuscula Math. 36, no. 6 (2016), 799-806, http://dx.doi.org/10.7494/OpMath.2016.36.6.799

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