L¹ representation of Riesz spaces
Studia Mathematica, Tome 176 (2006) no. 1, p. 61.

Voir la notice de l'article dans European Digital Mathematics Library

Let E be a Riesz space. By defining the spaces L ¹ E and L E ∞ of E, we prove that the center Z ( L ¹ E ) of L ¹ E is L E ∞ and show that the injectivity of the Arens homomorphism m: Z(E)” → Z(E˜) is equivalent to the equality L ¹ E = Z ( E ) ' . Finally, we also give some representation of an order continuous Banach lattice E with a weak unit and of the order dual E˜ of E in L ¹ E which are different from the representations appearing in the literature.
Classification : 47B65, 46A40
Mots-clés : orthomorphism, ideal center, uniformly complete Riesz space, Banach lattice, -algebra, Arens homomorphism 
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     title = {L{\textonesuperior} representation of {Riesz} spaces},
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Bahri Turan. L¹ representation of Riesz spaces. Studia Mathematica, Tome 176 (2006) no. 1, p. 61. https://geodesic-test.mathdoc.fr/item/STUMA_2006__176_1_284621/