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A theorem about states on quantum logics. States on Jordan algebras

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Publication:796058
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DOI10.1007/BF01018756zbMath0543.46045MaRDI QIDQ796058

N. E. Zubov

Publication date: 1983

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

continuous hyperfinite Jordan factorcontinuous infinite Jordan algebrapositive and orthoadditivestate on the projections


Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) States of selfadjoint operator algebras (46L30) Jordan structures on Banach spaces and algebras (17C65)


Related Items (3)

Unnamed Item ⋮ Jordan operator algebras ⋮ Introduction to the theory of noncommutative integration



Cites Work

  • Moufang plane and octonionic quantum mechanics
  • Measures on projections and physical states
  • Jordan algebras of type I


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