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  ON THE MAXIMALITY OF LOGICS WITH APPROXIMATIONS JOSÉ IOVINO

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Abstract:

In this paper we analyze some aspects of the question of using methods from model theory to study structures of functional analysis. By a well known result of P. Lindström, one cannot extend the expressive power of first order logic and yet preserve its most outstanding model theoretic characteristics

Citations

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9 Stable Banach spaces and Banach space structures, II: Forking and compact topologies – Iovino - 1999
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7 Banach space model theory – Heinrich, Henson - 1986
7 When do two Banach spaces have isometrically isomorphic nonstandard hulls – Henson - 1975
2 The Hanf number of the first order theory of Banach spaces – Shelah, Stern - 1978