Continuity of operators on Saks spaces

Iwo Labuda

Displaying similar documents to “Continuity of operators on Saks spaces”

Properties of Orlicz-Pettis or Nikodym type and barrelledness conditions

Philippe Turpin (1978)

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An Orlicz-Pettis type property for vector measures and also the “Uniform Boundedness Principle” are shown to fail without local convexity assumption. The author asks under which generalized convexity hypotheses these properties remain true. This problem is expressed in terms of barrelledness type conditions.

Some remarks on subspaces on Orlicz spaces of vector-valued finitely additive functions

Joseph Diestel (1971)

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Linear functionals on two-norm spaces

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Queiroz, Maria Lúcia B. de (1987)

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On duality between $(L_{1} F)$ -spaces and $(L_{2} F)$ -spaces

W. Zawadowski (1968)

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Some metric and topological properties of certain linear spaces of measurable functions

Stevens Heckscher (1972)

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Orlicz spaces based on families of measures

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Vector series whose lacunary subseries converge

Lech Drewnowski, Iwo Labuda (2000)

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The area of research of this paper goes back to a 1930 result of H. Auerbach showing that a scalar series is (absolutely) convergent if all its zero-density subseries converge. A series $\sum_{n} x_{n}$ in a topological vector space X is called ℒ-convergent if each of its lacunary subseries $\sum_{k} x_{n_{k}}$ (i.e. those with $n_{k + 1} - n_{k} \to \infty$ ) converges. The space X is said to have the Lacunary Convergence Property, or LCP, if every ℒ-convergent series in X is convergent; in fact, it is then subseries convergent. The Zero-Density...