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A characterization of Orlicz spaces isometric to Lp-spaces.

Grzegorz Lewicki (1997)

Collectanea Mathematica

In this note we present an affirmative answer to the problem posed by M. Baronti and C. Franchetti (oral communication) concerning a characterization of Lp-spaces among Orlicz sequence spaces. In fact, we show a more general characterization of Orlicz spaces isometric to Lp-spaces.

A characterization of weakly sequentially complete Banach lattices

A. W. Wickstead (1976)

Annales de l'institut Fourier

The equivalence of the two following properties is proved for every Banach lattice E :1) E is weakly sequentially complete.2) Every σ ( E * , E ) -Borel measurable linear functional on E is σ ( E * , E ) -continuous.

A class of locally convex spaces without 𝒞 -webs

Manuel Valdivia (1982)

Annales de l'institut Fourier

In this article we give some properties of the tensor product, with the ϵ and π topologies, of two locally convex spaces. As a consequence we prove that the theory of M. de Wilde of the closed graph theorem does not contain the closed graph theorem of L. Schwartz.

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