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Proceedings of the American Mathematical Society

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An invariant subspace lattice of order type $ \omega +\omega +1$


Authors: K. J. Harrison and W. E. Longstaff
Journal: Proc. Amer. Math. Soc. 79 (1980), 45-49
MSC: Primary 47A15
DOI: https://doi.org/10.1090/S0002-9939-1980-0560581-1
MathSciNet review: 560581
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Abstract: An example is given of a bounded linear operator on a Hilbert space whose lattice of invariant subspaces is totally ordered and is of order-type $ \omega + \omega + 1$ .


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DOI: https://doi.org/10.1090/S0002-9939-1980-0560581-1
Article copyright: © Copyright 1980 American Mathematical Society