Théorèmes ergodiques maximaux dans les espaces $ \mathrm{L}_{\mathbf{p}}$ non commutatifs

Marius Junge; Quanhua Xu

doi:10.1016/S1631-073X(02)02367-1

Théorèmes ergodiques maximaux dans les espaces

L_{𝐩}

non commutatifs
[Maximal ergodic theorems in non-commutative

L_{𝐩}

-spaces]

Marius Junge ¹; Quanhua Xu ²

¹ Department of Mathematics, University of Illinois, Urbana, IL 61801, USA
² Laboratoire de mathématiques, Université de Franche-Comté, 25030 Besançon cedex, France

Comptes Rendus. Mathématique, Volume 334 (2002) no. 9, pp. 773-778.

Résumé (Original language)
Abstract

On obtient certains théorèmes ergodiques maximaux dans les espaces L_p non commutatifs associés à une algèbre de von Neumann semifinie.

We prove several maximal ergodic theorems in non-commutative L_p-spaces associated with semifinite von Neumann algebras.

Received: 2002-03-14
Accepted: 2002-03-19
Published online: 2002-01-01

DOI: 10.1016/S1631-073X(02)02367-1

Author's affiliations:

Marius Junge ¹; Quanhua Xu ²

¹ Department of Mathematics, University of Illinois, Urbana, IL 61801, USA
² Laboratoire de mathématiques, Université de Franche-Comté, 25030 Besançon cedex, France

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     author = {Marius Junge and Quanhua Xu},
     title = {Th\'eor\`emes ergodiques maximaux dans les espaces $ \mathrm{L}_{\mathbf{p}}$ non commutatifs},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {773--778},
     publisher = {Elsevier},
     volume = {334},
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     doi = {10.1016/S1631-073X(02)02367-1},
     language = {fr},
}

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Marius Junge; Quanhua Xu. Théorèmes ergodiques maximaux dans les espaces $ \mathrm{L}_{\mathbf{p}}$ non commutatifs. Comptes Rendus. Mathématique, Volume 334 (2002) no. 9, pp. 773-778. doi : 10.1016/S1631-073X(02)02367-1. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02367-1/

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