Von Neumann algebras and Boolean valued analysis

Gaisi TAKEUTI

doi:10.2969/jmsj/03510001

Gaisi TAKEUTI

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ジャーナルフリー

1983 年 35 巻 1 号 p. 1-21

DOI https://doi.org/10.2969/jmsj/03510001

詳細

Published: 1983 Received: 1981/03/30 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) J. Diximier, Les algèbres d'opérateurs Bans l'espace Hilbertien, 2nd. ed., Gauthier-Villars. Paris, 1969.
2) F. J. Murray and J. von Neumann, On rings of operators, Ann. of Math., 37(1936), 116-229.
3) M. Takesaki, Theory of operator algebra I, Springer, New York, 1979.
4) M. Takesaki, Duality for crossed products and the structure of von Neumann algebras of type III, Acta Math., 131(1973), 249-310.
5) G. Takeuti, Two applications of logic to mathematics, Iwanami and Princeton University Press, Tokyo and Princeton, 1978.
6) G. Takeuti, Boolean valued analysis, Applications of sheaves, Ed. by Fourman, Mulvey and Scott, 714-731, Lecture Notes in Math., 753, Springer, 1979.
7) G. Takeuti, A transfer principle in harmonic analysis, J. Symbolic Logic, 44 (1979), 417-440.
8) G. Takeuti, Boolean completion and m-convergence, Categorical aspects of topology and analysis, Ed. by B. Banaschewski, 333-350, Lecture Notes in Math., 915, Springer, 1982.

Right : [1] J. Diximier, Les algèbres d'opérateurs dans l'espace Hilbertien, 2nd. ed., Gauthier-Villars. Paris, 1969.
[2] F. J. Murray and J. von Neumann, On rings of operators, Ann. of Math., 37(1936), 116-229.
[3] M. Takesaki, Theory of operator algebra I, Springer, New York, 1979.
[4] M. Takesaki, Duality for crossed products and the structure of von Neumann algebras of type III, Acta Math., 131(1973), 249-310.
[5] G. Takeuti, Two applications of logic to mathematics, Iwanami and Princeton University Press, Tokyo and Princeton, 1978.
[6] G. Takeuti, Boolean valued analysis, Applications of sheaves, Ed. by Fourman, Mulvey and Scott, 714-731, Lecture Notes in Math., 753, Springer, 1979.
[7] G. Takeuti, A transfer principle in harmonic analysis, J. Symbolic Logic, 44 (1979), 417-440.
[8] G. Takeuti, Boolean completion and m-convergence, Categorical aspects of topology and analysis, Ed. by B. Banaschewski, 333-350, Lecture Notes in Math., 915, Springer, 1982.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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