Displaying similar documents to “Addendum to: 'Sequences of 0's and 1's' (Studia Math. 149 (2002), 75-99)”

Sequences of 0's and 1's

Grahame Bennett, Johann Boos, Toivo Leiger (2002)

Studia Mathematica

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We investigate the extent to which sequence spaces are determined by the sequences of 0's and 1's that they contain.

Density conditions in Fréchet and (DF)-spaces.

Klaus-Dieter. Bierstedt, José Bonet (1989)

Revista Matemática de la Universidad Complutense de Madrid

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We survey our main results on the density condition for Fréchet spaces and on the dual density condition for (DF)-spaces (cf. Bierstedt and Bonet (1988)) as well as some recent developments.

On the ideal of all subsets on N of ddensity zero

J.C. Ferrando, M. López Pellicer (1998)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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In this note we obtainsome strong barrelledness properties concerning the simple function space generated by the hereditary ring Z of a11 subsets of density zero of N.

The density condition in quotients of quasinormable Fréchet spaces

Angela Albanese (1997)

Studia Mathematica

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It is proved that a separable Fréchet space is quasinormable if, and only if, every quotient space satisfies the density condition of Heinrich. This answers positively a conjecture of Bonet and Dí az in the class of separable Fréchet spaces.

On nonbornological barrelled spaces

Manuel Valdivia (1972)

Annales de l'institut Fourier

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If E is the topological product of a non-countable family of barrelled spaces of non-nulle dimension, there exists an infinite number of non-bornological barrelled subspaces of E . The same result is obtained replacing “barrelled” by “quasi-barrelled”.