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0 Invariant Subspaces of Voiculescu ’ S Circular Operator
The invariant subspace problem relative to a von Neumann algebra M ⊆ B(H) asks whether every operator T ∈ M has a proper, nontrivial invariant subspace H0 ⊆ H such that the orthogonal projection p onto H0 is an element of M; equivalently, it asks whether there is a projection p ∈ M, p / ∈ {0, 1}, such that Tp = pTp. Even when M is a II1–factor, this invariant subspace problem remains open. In t...
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ژورنال
عنوان ژورنال: Concrete Operators
سال: 2020
ISSN: 2299-3282
DOI: 10.1515/conop-2020-0101