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 | References | Similar Articles | Additional Information
Abstract: A short proof is given of Arveson's reflexivity theorem for strongly closed commutative subspace lattices.
- [1] William Arveson, Operator algebras and invariant subspaces, Ann. of Math. (2) 100 (1974), 433–532. MR 0365167, https://doi.org/10.2307/1970956
- [2] Kenneth R. Davidson, Commutative subspace lattices, Indiana Univ. Math. J. 27 (1978), no. 3, 479–490. MR 0482264, https://doi.org/10.1512/iumj.1978.27.27032
- [3] V. S. Shul′man, Lattices of projectors in a Hilbert space, Funktsional. Anal. i Prilozhen. 23 (1989), no. 2, 86–87 (Russian); English transl., Funct. Anal. Appl. 23 (1989), no. 2, 158–159. MR 1011372, https://doi.org/10.1007/BF01078796
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1992-1087464-3
Article copyright:
© Copyright 1992
American Mathematical Society