• openAccess   Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert space 

      Miralles, Alejandro Springer (2023-09-04)
      Let be the open unit ball of a complex finite or infinite dimensional Hilbert space E and consider the space of Bloch functions on . Using Lipschitz continuity of the dilation map on given by for , where denotes the ...
    • openAccess   Invertibles in topological rings: a new approach 

      Garcia-Pacheco, Francisco; Miralles, Alejandro; murillo arcila, marina Springer (2021-11-15)
      Every element in the boundary of the group of invertibles of a Banach algebra is a topological zero divisor. We extend this result to the scope of topological rings. In particular, we define a new class of semi-normed ...
    • openAccess   Lipschitz continuity of the dilation of Bloch functions on the unit ball of a Hilbert space and applications 

      Miralles, Alejandro Springer (2024-02-13)
      Let BE be the open unit ball of a complex finite- or infinite-dimensional Hilbert space. If f belongs to the space B(BE ) of Bloch functions on BE , we prove that the dilation map given by x → (1 − x 2)R f (x) for x ∈ ...
    • openAccess   On interpolating sequences for Bloch type spaces 

      Miralles, Alejandro; Maletzki, Mario P. Elsevier (2022-02-14)
      When we deal with , it is known that interpolating sequences are interpolating and it is sufficient to interpolate idempotents of in order to interpolate the whole . We will extend these results to the frame of interpolating ...
    • openAccess   The Constant of Interpolation in Bloch Type Spaces 

      Miralles, Alejandro; Maletzki, Mario P. Springer (2023-09)
      It is known that there exists a constant 0 < Δ1 < 1 such that any Δ1-separated sequence for the pseudohyperbolic distance in the open unit disk D of C is interpolating for the classical Bloch space B. We will prove that ...