On two questions of Halmos concerning subspace lattices-Reference-Cited by-同舟云学术

On two questions of Halmos concerning subspace lattices

Published:1979 Issue:1 Volume:75 Page:85-86
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Longstaff W. E.,Rosenthal Peter

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1979-075-01/S0002-9939-1979-0529219-5/S0002-9939-1979-0529219-5.pdf

Reference6 articles.

1. Invariant para-closed subspaces;Foiaş, Ciprian;Indiana Univ. Math. J.,1971

2. Ten problems in Hilbert space;Halmos, P. R.;Bull. Amer. Math. Soc.,1970

3. Reflexive lattices of subspaces;Halmos, P. R.;J. London Math. Soc. (2),1971

4. Reflexive subspace lattices in finite-dimensional Hilbert spaces;Harrison, K. J.;Indiana Univ. Math. J.,1977

5. Distinguished rings of linear transformations;Johnson, R. E.;Trans. Amer. Math. Soc.,1964

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