Abstract
If A is any operator, then Lat A is a complete lattice of subspaces, (Section 0.2). The problem of “determining Lat A” for specific operators A is not a very clearly posed problem. For example, Corollary 3.26 and Theorem 3.30 allow us to “determine Lat A” in some sense for any operator A. However, the description of Lat A so obtained does not, in general, even help in deciding whether or not A has any non-trivial invariant subspaces.
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© 1973 Springer-Verlag Berlin Heidelberg
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Radjavi, H., Rosenthal, P. (1973). Examples of Invariant Subspace Lattices. In: Invariant Subspaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 77. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65574-6_5
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DOI: https://doi.org/10.1007/978-3-642-65574-6_5
Publisher Name: Springer, Berlin, Heidelberg
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