Banach Spaces on which Nontrivial Saks Spaces Exist

DOI10.2307/2041328zbMath0357.46007OpenAlexW4231019314MaRDI QIDQ4129921

Iwo Labuda

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2041328

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Special classes of linear operators (47B99)

Cites Work

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• Topics in functional analysis. Notes by W. D. Laverell
• Variational FK spaces and two-norm convergence
• Addendum to ``\(FK\)-spaces containing \(c_0\)
• On summability of double sequences (I)
• Some remarks on Saks spaces
• On the continuity of linear operations in Saks spaces with an application to the theory of summability
• Contribution to the theory of Saks spaces
• Consistency theorems for Banach space analogues of Toeplitzian methods of summability
• Continuity of operators on Saks spaces
• On relatively disjoint families of measures, with some applications to Banach space theory
• Linear operations in Saks spaces (I)

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