Advanced Course in Operator Theory and Complex Analysis (1st. 2004. Sevilla)
Recent Submissions
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Presentation
On the growth of Hardy and Bergman norms of functions in the Dirichlet space
(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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Presentation
On spectral structure of bounded linear operators on reflexive Banach spaces
(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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Presentation
Composition operators on the weighed Bergman-Nevanlinna classes
(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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Presentation
Operators on Lp and the role of the image of the unit ball
(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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Presentation
Composition operators with linear fractional smbols and their adjoints
(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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Presentation
Toeplitz operators and division by inner functions
(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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Presentation
Banach algebras with trivial cohomology
(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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Presentation
A parametrization for the symbols of a Hankel type operator
(Editorial Universidad de Sevilla, 2005)Hankel operators and their symbols, as generalized by V. Pták and P. Vrbová, are considered. In this more general framework, ...
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Presentation
Volterra operators on spaces of analytic functions - a survey
(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.
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Presentation
Invariant subspaces of translation semigroups
(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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Presentation
How large is a Riemann surface: the type problem
(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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Presentation
Analytic contractions and boundary behaviour - an overview
(Editorial Universidad de Sevilla, 2005)