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.
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
Dense barrelled subspace of Banach spaces.
Christopher E. Stuart (1996)
Collectanea Mathematica
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On the density of certain sequences of integers.
Alfred Rényi (1955)
Publications de l'Institut Mathématique [Elektronische Ressource]
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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.
On superbarrelled spaces. Closed graph theorems.
Baltasar Rodríguez Salinas (1995)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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On the subspaces of Fréchet Montel spaces and of the strong duals of Fréchet Montel spaces.
W. Roelke (1971)
Collectanea Mathematica
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Barreled spaces of class n and of class X.
J.C. Ferrando, M. López-Pellicer (1989)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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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 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 . The same result is obtained replacing “barrelled” by “quasi-barrelled”.