Abstract
In [2] the authors have proven that for any countable ordinal (with last element) there exists an operator whose lattice of invariant subspaces is order isomorphic to the given ordinal. In this note an account is given of certain chains related to Volterra operators and weighted shifts.
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References
Barría, J.: The invariant subspaces of a Volterra operator, J. Operator Theory, 6 (1981), 341–349.
Barría, J.; Davidson, K.R.: Unicellular operators, Trans. Amer. Math. Soc. 284 (1984), 229–246.
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© 1986 Springer Basel AG
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Barría, J., Davidson, K.R. (1986). Examples of Chains of Invariant Subspaces. In: Douglas, R.G., Pearcy, C.M., Sz.-Nagy, B., Vasilescu, FH., Voiculescu, D., Arsene, G. (eds) Advances in Invariant Subspaces and Other Results of Operator Theory. Operator Theory: Advances and Applications, vol 17. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7698-8_4
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DOI: https://doi.org/10.1007/978-3-0348-7698-8_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-7700-8
Online ISBN: 978-3-0348-7698-8
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