J. Austral. Math. Soc.
72 (2002), 409-417
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Nuclear Fréchet lattices
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Antonio Fernández
Dpto. Matemática Aplicada II
Escuela Superior de Ingenieros
Camino de los Descubrimientos, s/n
41092-Sevilla
Spain
anfercar@esi.us.es
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and
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Francisco Naranjo
Dpto. Matemática Aplicada II
Escuela Universitaria Politécnica
c/ Virgen de África, 7
41011-Sevilla
Spain
naranjo@platero.eup.us.es
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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.
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