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Nuclear Fréchet lattices

Published online by Cambridge University Press:  01 August 2017

Antonio Fernández
Affiliation:
Dpto. Matemática Aplicada II, Escuela Superior de Ingenieros, Camino de los Descubrimientos, s/n 41092-Sevilla, Spain e-mail: [email protected]
Francisco Naranjo
Affiliation:
Dpto. Matemática Aplicada II, Escuela Universitaria Politécnica, c/ Virgen de África, 7 41011-Sevilla, Spain e-mail: [email protected]
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Abstract

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We give a characterization of nuclear Fréchet lattices in terms of lattice properties of the seminorms. Indeed, we prove that a Fréchet lattice is nuclear if and only if it is both an AL- and an AM-space.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2002

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