Publication:
Kuratowski convergence of holomorphic functions

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2004
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Springer-Verlag, Wien
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Abstract
The notion of Kuratowski convergence is applied to describe a kind of convergence in the context of holomorphic functions. We associate it to a convenient topology, explore its relation with the compact-open topology, thus providing a new set theoretic point of view of this classic topology, and present it in the framework of set-valued mappings.
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Análisis funcional y teoría de operadores
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Beer G (1989) Convergence of continuous linear functions and their level sets. Arch Math 52: 482–491 Beer G (1993) Topologies on closed and closed convex sets. Dordrecht: Kluwer Conway JB (1978) Functions of One Complex Variable. 2nd ed. Berlin Heidelberg New York: Springer Ferrera J (1996) Convergence of polynomial level sets, Trans Amer Math Soc 350: 4757–4773 Ferrera J (1998) Mosco convergence of sequences of homogeneous polynomials. Rev Mat Complut 11: 31–41 Köthe G (1969) Topological Vector Spaces I. Berlin Heidelberg New York: Springer Rockafellar RT, Wets RJB (1998) Variational Analysis. Berlin Heidelberg New York: Springer
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https://hdl.handle.net/20.500.14352/49925
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