Remarks on conditional expectations in von Neumann algebra

Yoshikazu KATAYAMA

doi:10.2969/jmsj/03010001

Yoshikazu KATAYAMA

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JOURNAL FREE ACCESS

1978 Volume 30 Issue 1 Pages 1-6

DOI https://doi.org/10.2969/jmsj/03010001

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Published: 1978 Received: August 08, 1975 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) F. Combes, Poids et espérences conditionelles Bans algèbres de von Neumann, Bull. Soc. Math. France, 99 (1971), 73-112.
2) F. Combes, Poids associé à une algébre hilbertienne á gauche, Compositio Math., 23 (1971), 49-77.
3) A. Connes, Une classification des facteurs de type III, Ann. Sci. École Norm. Sup., 6 (1973), 133-252.
4) Y. Katayama, The tensor product of weights, Proc. Japan Acad., 50 (1974), 430-432.
5) I. Kovács and Sziüces, Ergodic type theorems in von Neumann algebras, Acta sci. Math. Szeged, 27 (1966), 233-246.
6) M. Nakamura and T. Tsurumaru, Expectations in an operator algebra, Tohoku Math. J., 6 (1954), 182-188.
7) G. K. Pedersen and M. Takesaki, The Radon-Nikodym theorem for von Neumann algebras, Acta Math., 130 (1973), 53-87.
8) M. Takesaki, Conditional expectations in von Neumann algebra, J. Funct. Anal., 9 (1971), 306-321.
9) H. Umegaki, Conditional expectation in an operator algebra, Tohoku Math. J. 6 (1954), 177-181.

Right : [1] F. Combes, Poids et espérences conditionelles Bans algèbres de von Neumann, Bull. Soc. Math. France, 99 (1971), 73-112.
[2] F. Combes, Poids associé à une algébre hilbertienne á gauche, Compositio Math., 23 (1971), 49-77.
[3] A. Connes, Une classification des facteurs de type III, Ann. Sci. École Norm. Sup., 6 (1973), 133-252.
[4] Y. Katayama, The tensor product of weights, Proc. Japan Acad., 50 (1974), 430-432.
[5] I. Kovács and Szüces, Ergodic type theorems in von Neumann algebras, Acta sci. Math. Szeged, 27 (1966), 233-246.
[6] M. Nakamura and T. Tsurumaru, Expectations in an operator algebra, Tôhoku Math. J., 6 (1954), 182-188.
[7] G. K. Pedersen and M. Takesaki, The Radon-Nikodym theorem for von Neumann algebras, Acta Math., 130 (1973), 53-87.
[8] M. Takesaki, Conditional expectations in von Neumann algebra, J. Funct. Anal., 9 (1971), 306-321.
[9] H. Umegaki, Conditional expectation in an operator algebra, Tôhoku Math. J. 6 (1954), 177-181.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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