Small transitive lattices-Reference-Cited by-同舟云学术

Small transitive lattices

Published:1983 Issue:1 Volume:87 Page:121-124
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hadwin D. W.,Longstaff W. E.,Rosenthal Peter

Abstract

Partial results are obtained on the problem of determining the smallest lattice of subspaces of a Hilbert space with the property that the only operators leaving all the subspaces invariant are the multiples of the identity.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-087-01/S0002-9939-1983-0677246-0/S0002-9939-1983-0677246-0.pdf

Reference8 articles.

1. On operator ranges;Fillmore, P. A.;Advances in Math.,1971

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

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

4. A transitive medial subspace lattice;Harrison, K. J.;Proc. Amer. Math. Soc.,1971

5. On invariant operator ranges;Nordgren, E.;Trans. Amer. Math. Soc.,1979

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