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Reflexivity of commutative subspace lattices


Author: Richard Haydon
Journal: Proc. Amer. Math. Soc. 115 (1992), 1057-1060
MSC: Primary 47D25; Secondary 47A15
DOI: https://doi.org/10.1090/S0002-9939-1992-1087464-3
MathSciNet review: 1087464
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Abstract: A short proof is given of Arveson's reflexivity theorem for strongly closed commutative subspace lattices.

References [Enhancements On Off] (What's this?)

  • [1] W. B. Arveson, Operator algebras and invariant subspaces, Ann. of Math. (2) 100 (1974), 433-532. MR 0365167 (51:1420)
  • [2] K. R. Davidson, Commutative subspace lattices, Indiana Univ. Math. J. 27 (1978), 479-490. MR 0482264 (58:2340)
  • [3] V. S. Shulman, Projection lattices in Hilbert space, Functional Anal. Appl. 23 (1990), 158-159; translation of Funkcional. Anal. i Priložen. 23 (1989), 86-89. MR 1011372 (90h:47084)

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DOI: https://doi.org/10.1090/S0002-9939-1992-1087464-3
Article copyright: © Copyright 1992 American Mathematical Society

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