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Semigrupos de operadores de composición
(2017-09)
The main problem we consider in this work is the study of semigroups of composition operators on spaces of analytic functions on the unit disc. Mainly, we focus on the problem in Hardy spaces, Hp(D), and Bergman spaces, ...
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Operadores universales y subespacios invariantes
(2019)
The Invariant Subspace Problem is one of the most studied problems on Operator Theory in the last decades. In fact, it is still open in the Hilbert space setting. The purpose of this work is to present the most classic ...
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La desigualdad de Von Neumann y la teoría de dilatación
(2018-09)
A famous inequality by von Neumann states that if T is a contraction on a Hilbert space and p is a polynomial, then kp(T)k ≤ sup{|p(z)| : z ∈ C, |z| ≤ 1}. As time went on, this inequality has given rise to a large variety ...