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A NOTE ON k-HYPERREFLEXIVITY OF TOEPLITZ-HARMONIC SUBSPACES

Piotr Budzynski|Kamila Piwowarczyk|Marek Ptak
대한수학회 (The Korean Mathematical Society)|2014.11|대한수학회보 (Bulletin of the KMS)|제51권 제6호|pp. 1727-1733

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참고문헌

키워드

tensor productk-hyperreflexive subspacedirect integralisom- etryquasinormal operator
주제분류수학

초록

The 2-hyperreflexivity of Toeplitz-harmonic type subspace generated by an isometry or a quasinormal operator is shown. The k- hyperreflexivity of the tensor product S ⓧ V of a k-hyperreflexive decom- posable subspace S and an abelian von Neumann algebra V is established.

Abstract

The 2-hyperreflexivity of Toeplitz-harmonic type subspace generated by an isometry or a quasinormal operator is shown. The k- hyperreflexivity of the tensor product S ⓧ V of a k-hyperreflexive decom- posable subspace S and an abelian von Neumann algebra V is established.

참고문헌 (17)

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  11. K. Kli´s, "Quasinormal operators are hyperreflexive, Topological algebras, their applica-tions, and related topics", pp.241~244 (2005), Polish Acad. Sci
  12. K. Kli´s, "k-hyperreflexive subspaces", Houston J. Math, 32(1), pp.299~313 (2006)
  13. J. Kraus, "Reflexivity and distance formulae", Proc. London Math. Soc, 53(2), pp.340~356 (1986)
  14. M. Ptak, "Projections onto the spaces of Toeplitz operators", Ann. Polon. Math, 86(2), pp.97~105 (2005)
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  17. J. T. Schwartz, "W-Algebras, Gordon and Breach" (1967)

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