On Grothendieck space ideals
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We develop some techniques to prove that some well known classes of Schwartz spaces cannot be generated by a pre-ideal of operators. We also construct new proofs for Montel spaces and spaces of maximal diametral dimension.
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Castillo, Jesús M. F. “On Grothendieck space ideals”. Collectanea Mathematica, vol.VOL 39, no. 1, pp. 67-82, https://raco.cat/index.php/CollectaneaMathematica/article/view/56929.
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