Found 3 document(s)
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This paper is devoted to the study of the dynamics of Toeplitz operators $T_F$ with smooth symbols $F$ on the Hardy spaces of the unit disk $H_p$ ,$ p>1$. Building on a model theory for Toeplitz operators on $H_2$ develo...
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This is for the most part a survey paper, in which we present some results related to the construction of universal linear dynamical systems, i.e. of operators on Banach spaces which can represent, in various senses, cer...
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The Invariant Subset Problem on the Hilbert space is to know whether there exists a bounded linear operator T on a separable infinite-dimensional Hilbert space H such that the orbit {T^n x; n ≥ 0} of every non-zero vecto...