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math.FA2013★ 11 cited
A general approach to Read's type constructions of operators without non-trivial invariant closed subspaces
Sophie Grivaux, Maria Roginskaya
We present a general method for constructing operators without non-trivial invariant closed subsets on a large class of non-reflexive Banach spaces. In particular, our approach uni…
math.FA2013★ 1 cited
On Read's type operators on Hilbert spaces
Sophie Grivaux, Maria Roginskaya
Using Read's construction of operators without non-trivial invariant subspaces/subsets on or , we construct examples of operators on a Hilbert space whose set of…
math.FA2013★ 1 cited
An example of a minimal action of the free semi-group $\F^{+}_{2}$ on the Hilbert space
Sophie Grivaux, Maria Roginskaya
The Invariant Subset Problem on the Hilbert space is to know whether there exists a bounded linear operator on a separable infinite-dimensional Hilbert space such that the…