Email this article Measures on orthoideals and L1-spaces associated with positive operators
- Authors: Novikov A.A.1, Tikhonov O.E.2
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Affiliations:
- N.I. Lobachevskii Institute of Mathematics and Mechanics
- Federal University
- Issue: Vol 37, No 4 (2016)
- Pages: 497-499
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198130
- DOI: https://doi.org/10.1134/S1995080216040144
- ID: 198130
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Abstract
We study measures on orthoideals in the set of projections in von Neumann algebra, which appear within a framework of L1-spaces associated with positive operators in the algebra. We show that there exists a positive measure on orthoideal, which cannot be extended to a normal weight on the algebra, but can be represented as a difference of two positive measures extendable to normal weights.
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About the authors
An. An. Novikov
N.I. Lobachevskii Institute of Mathematics and Mechanics
Author for correspondence.
Email: A.Hobukob@gmail.com
Russian Federation, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008
O. E. Tikhonov
Federal University
Email: A.Hobukob@gmail.com
Russian Federation, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008
