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A transitive medial subspace lattice

Authors: K. J. Harrison, Heydar Radjavi and Peter Rosenthal
Journal: Proc. Amer. Math. Soc. 28 (1971), 119-121
MSC: Primary 47.35; Secondary 46.00
MathSciNet review: 0283609
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Abstract: We give an example of a transitive medial lattice of subspaces of Hilbert space which has four nontrivial elements.

References [Enhancements On Off] (What's this?)

  • [1] Paul R. Halmös, Ten problems in Hilbert space, Bull. Amer. Math. Soc. 76 (1970), 887-933. MR 0270173 (42:5066)
  • [2] Peter Rosenthal, Examples of invariant subspace lattices, Duke Math. J. 37 (1970), 103-112. MR 40 #4797. MR 0251570 (40:4797)

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Keywords: Hilbert space, operator, invariant subspace, lattice, transitive
Article copyright: © Copyright 1971 American Mathematical Society

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