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On powers of operators with spectrum in cantor sets and spectral synthesis
Mohamed Zarrabi
For , let be the perfect symmetric set associated with , that is $$E_ξ = \Big\{ \exp \Big( 2i π(1-ξ) \sum_{n = 1}^{+\infty} ε_{n} ξ^{n-1}…
A Szegö type theorem for truncated Toeplitz operators
Elizabeth Strouse, Dan Timotin, Mohamed Zarrabi
Truncated Toeplitz operators are compressions of multiplication operators on to model spaces (that is, subspaces of which are invariant with respect to the backward shi…
Weighted Big Lipschitz algebras of analytic functions and closed ideals
Brahim Bouya, Mohamed Zarrabi
We give the smallest closed ideal with given hull and inner factor for some weighted big Lipschitz algebras of analytic functions.
Unitary equivalence to truncated Toeplitz operators
Elizabeth Strouse, Dan Timotin, Mohamed Zarrabi
In this paper we investigate operators unitarily equivalent to truncated Toeplitz operators. We show that this class contains certain sums of tensor products of truncated Toeplitz…
Compact operators that commute with a contraction
Karim Kellay, Mohamed Zarrabi
Let be a --contraction on a separable Hilbert space. We assume that is compact. For a function holomorphic in the unit disk $\DD$ and continuous on $\bar\DD…