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Absolute continuity for linear forms onB *-algebras and a Radon-Nikodym type theorem (quadratic version)

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Abstract

The notion of absolute continuity for linear forms onB *-algebras is introduced and investigated. The main result is a general Radon-Nikodym type theorem in the context of B*-algebras which extends a well-known theorem of S. Sakai and has diverse applications in the theory of operator algebras.

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Authors and Affiliations

  1. Mathem. Institut der WWU, Einsteinstraße 64, D4400, Münster

    Gerd Niestegge

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  1. Gerd Niestegge
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Additional information

These results constitute part of a doctorial thesis, written at the university of Münster in 1981.

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Niestegge, G. Absolute continuity for linear forms onB *-algebras and a Radon-Nikodym type theorem (quadratic version). Rend. Circ. Mat. Palermo 32, 358–376 (1983). https://doi.org/10.1007/BF02848539

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  • DOI: https://doi.org/10.1007/BF02848539

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