Generalized Lüders operation for normal states on a von Neumann algebra


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	Generalized Lüders operation for normal states on a von Neumann algebra


	Fixed Point Theory, Volume 19, No. 1, 2018, 301-320, February 1st, 2018 DOI: 10.24193/fpt-ro.2018.1.24 Authors: Katarzyna Lubnauer, Andrzej Łuczak and Hanna Podsȩdkowska Abstract: A generalized Lüders operation on states of a von Neumann algebra is considered, and the fixed points of this operation are investigated. In particular, a description of the fixed points is obtained for arbitrary semifinite von Neumann algebras, generalizing thus the one obtained for the full algebra. There is some similarity between the results for the Lüders operation on states and the results for the analogous Lüders operation on the algebra, however, the analogy is not complete and the difference is already seen for the full algebra. Key Words and Phrases: Lüders operation, von Neumann algebra, fixed-points. 2010 Mathematics Subject Classification: 46L30, 46L55. Published on-line: February 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents