Reflexivity of commutative subspace lattices
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- by Richard Haydon PDF
- Proc. Amer. Math. Soc. 115 (1992), 1057-1060 Request permission
Abstract:
A short proof is given of Arveson’s reflexivity theorem for strongly closed commutative subspace lattices.References
- William Arveson, Operator algebras and invariant subspaces, Ann. of Math. (2) 100 (1974), 433–532. MR 365167, DOI 10.2307/1970956
- Kenneth R. Davidson, Commutative subspace lattices, Indiana Univ. Math. J. 27 (1978), no. 3, 479–490. MR 482264, DOI 10.1512/iumj.1978.27.27032
- 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, DOI 10.1007/BF01078796
Additional Information
- © Copyright 1992 American Mathematical Society
- 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