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On a Measure on the Inductive Limit of Projection Logics

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Abstract

The aim of the paper is to measure the logic of J-projections from inductive limit of W J-algebras studied. The main result is

Theorem. Let А be a W∗ J-factor of countable type (type of А is different from I2) and let А be the inductive limit of W∗ J-factors Аα different from I2. If (1) А be a W∗ P-factor or (2) А and all Аα are W∗ K-factors, then any indefinite measure ν : ∪αАhα→ R can be unique by the strong operator topology extended to an indefinite measure on Ah.

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Authors and Affiliations

  1. Novorossiiskii Filial of Kuban State University, Str. Geroevdesantnikov, 87, 353901, Novorossiisk, Russia

    Marjan Matvejchuk

  2. Ulyanovsk State Pedagogical University, 432700, Ulyanovsk, Russia

    Elena Vladova

Authors
  1. Marjan Matvejchuk
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  2. Elena Vladova
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Correspondence to Marjan Matvejchuk.

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Matvejchuk, M., Vladova, E. On a Measure on the Inductive Limit of Projection Logics. Int J Theor Phys 44, 637–644 (2005). https://doi.org/10.1007/s10773-005-3994-5

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  • DOI: https://doi.org/10.1007/s10773-005-3994-5

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