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      Banach algebras with trivial cohomology 

      El Harti, Rachid (Editorial Universidad de Sevilla, 2005)
      A plausible conjecture is that Banach algebras with trivial cohomology have to be semisimple and finite dimensional. In ...
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      Composition operators on the weighed Bergman-Nevanlinna classes 

      Sharma, Somdatt D.; Sharma, Ajay K. (Editorial Universidad de Sevilla, 2005)
      In this paper we use an α-Carleson measure and a vanishing Carleson measure to characterize bounded and compact composition operators on weighted Bergman-Nevanlinna spaces.
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      Composition operators with linear fractional smbols and their adjoints 

      Martín Gómez, María José (Editorial Universidad de Sevilla, 2005)
      We characterize all linear fractional maps of the disk into itself in terms of their coefficients. We also prove the formula ...
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      How large is a Riemann surface: the type problem 

      Drasin, David (Editorial Universidad de Sevilla, 2005)
      The uniformization theorem asserts that a simply-connected non-compact Riemann surface S is conformally equivalent to ...
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      Invariant subspaces of translation semigroups 

      Power, Stephen C. (Editorial Universidad de Sevilla, 2005)
      In these lectures I shall give an account of some recent results and open problems relating to subspaces of square integrable ...
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      On spectral structure of bounded linear operators on reflexive Banach spaces 

      Shkarin, Stanislav A.; Smolyanov, Oleg G. (Editorial Universidad de Sevilla, 2005)
      A descriptive characterization of point, continuous, and residual spectra of operators acting on a separable Hilbert space is obtained. The possible point spectra of bounded linear operators acting on lp, 1 < p < ∞ are characterized.
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      On the growth of Hardy and Bergman norms of functions in the Dirichlet space 

      Vukotic, Dragan (Editorial Universidad de Sevilla, 2005)
      We review the Chang-Marshall inequality of Moser-Trudinger type for the Dirichlet space. We then use a weaker version of ...
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      Operators on Lp and the role of the image of the unit ball 

      Romero Moreno, María del Carmen (Editorial Universidad de Sevilla, 2005)
      Let p ∈ [1, +∞] such that its conjugate exponent q is not an even integer and let T be an operator defined on Lp(λ) with ...
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      Toeplitz operators and division by inner functions 

      Girela Álvarez, Daniel; González Enríquez, Cristóbal Miguel; Peláez Márquez, José Ángel (Editorial Universidad de Sevilla, 2005)
      A subspace X of the Hardy space H1 is said to have the K-property if for any ψ ∈ H∞, the Toeplitz operator Tψ maps X into ...
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      Volterra operators on spaces of analytic functions - a survey 

      Siskakis, Aristomenis (Editorial Universidad de Sevilla, 2005)
      We give a short and selective account of results known about operators of the form Vg(f)(z) = 1/z Z z 0 f(ζ)g0 (ζ) dζ, where g is analytic on the disc and the operator Tg = zVg acts on spaces of analytic functions.