JournalsprimsVol. 22, No. 6pp. 1025–1034

The Radon-Nikodym theorem for <i>L<sup>p</sup></i>-spaces of <i>W</i>*-algebras

  • Lothar M. Schmitt

    Universität des Saarlandes, Saarbrücken, Germany
The Radon-Nikodym theorem for <i>L<sup>p</sup></i>-spaces of <i>W</i>*-algebras cover
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Abstract

We prove an analogue of Sakai's [15] Radon-Nikodym theorem for Lp-spaces of W*-algebras. Following Takesaki [20] we characterize the Radon-Nikodyru derivatives by analytic extensions of modular automorphism groups. Finally we relate the facial structure in Lp-spaces of W*-algebras to Connes5 [2] unitary Radon-Nikodym cocycles.

Cite this article

Lothar M. Schmitt, The Radon-Nikodym theorem for <i>L<sup>p</sup></i>-spaces of <i>W</i>*-algebras. Publ. Res. Inst. Math. Sci. 22 (1986), no. 6, pp. 1025–1034

DOI 10.2977/PRIMS/1195177060