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Partial *- Algebras and Their Operator Realizations

- Antoine, J: Partial *- Algebras and Their Operator Realizati

  • Format
  • Bog, paperback
  • Engelsk

Beskrivelse

Algebras of bounded operators are familiar, either as C*-algebras or as von Neumann algebras. A first generalization is the notion of algebras of unbounded operators (O*-algebras), mostly developed by the Leipzig school and in Japan (for a review, we refer to the monographs of K. Schmudgen [1990] and A. Inoue [1998]). This volume goes one step further, by considering systematically partial *-algebras of unbounded operators (partial O*-algebras) and the underlying algebraic structure, namely, partial *-algebras. It is the first textbook on this topic. The first part is devoted to partial O*-algebras, basic properties, examples, topologies on them. The climax is the generalization to this new framework of the celebrated modular theory of Tomita-Takesaki, one of the cornerstones for the applications to statistical physics. The second part focuses on abstract partial *-algebras and their representation theory, obtaining again generalizations of familiar theorems (Radon-Nikodym, Lebesgue).

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Detaljer
  • SprogEngelsk
  • Sidetal522
  • Udgivelsesdato04-12-2010
  • ISBN139789048161768
  • Forlag Springer
  • Nummer i serien553
  • FormatPaperback
Størrelse og vægt
  • Vægt825 g
  • Dybde2,9 cm
  • coffee cup img
    10 cm
    book img
    15,5 cm
    23,5 cm

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