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The spectral radius formula for Fourier-Stieltjes algebras
Przemysław Ohrysko, Maria Roginskaya
In this short note we first extend the validity of the spectral radius formula obtained in \cite{ag} to Fourier--Stieltjes algebras. The second part is devoted to showing that for…
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…
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…
Some supports of Fourier transforms of singular measures are not Rajchman
Maria Roginskaya
The notion of Riesz sets tells us that a support of Fourier transform of a measure with non-trivial singular part has to be large. The notion of Rajchman sets tells us that if the…