On two questions of Halmos concerning subspace lattices

Longstaff, W. E.; Rosenthal, Peter

doi:10.1090/S0002-9939-1979-0529219-5

On two questions of Halmos concerning subspace lattices
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by W. E. Longstaff and Peter Rosenthal

Proc. Amer. Math. Soc. 75 (1979), 85-86

DOI: https://doi.org/10.1090/S0002-9939-1979-0529219-5

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Abstract:

An example is constructed of a nonreflexive pentagonal lattice of subspaces. It follows that reflexivity is not invariant under lattice isomorphism, even for finite lattices.

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