Boolean valued interpretation of Hilbert space theory

Masanao OZAWA

doi:10.2969/jmsj/03540609

Masanao OZAWA

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ジャーナルフリー

1983 年 35 巻 4 号 p. 609-627

DOI https://doi.org/10.2969/jmsj/03540609

詳細

Published: 1983 Received: 1982/07/19 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) P. R. Halmos, Introduction to Hilbert space and the theory of spectral multiplicity, Chelsea, New York, 1951.
2) P. R. Halmos, Lectures on Boolean algebras, Van Nostrand, New York, 1963.
3) S. Mac Lane, Categories for the working mathematician, Springer, New York, 1971.
4) S. Sakai, C^*-Algebras and W^*-algebras, Springer, Berlin, 1971.
5) M. Takesaki, Theory of operator algebras I, Springer, New York, 1979.
6) G. Takeuti, Two applications of logic to mathematics, Iwanami and Princeton University Press, Tokyo and Princeton, 1978.
7) G. Takeuti, Boolean valued analysis, Applications of Sheaves, Ed. by Fourman, Mulvey and Scott, 714-731, Lecture Notes in Math., 753, Springer, Berlin, 1979.
8) G. Takeuti, A transfer principle in harmonic analysis, J. Symbolic Logic, 44 (1979), 417-440.
9) G. Takeuti, Boolean completion and m-convergence, Categorical aspects of topologyand analysis, Ed. by B. Banaschewski, 333-350, Lecture Notes in Math., 915, Springer, Berlin, 1982.
10) G. Takeuti, Von Neumann algebras and Boolean valued analysis, J. Math. Soc. Japan, 35 (1983), 1-21.
11) G. Takeuti and W. M. Zaring, Axiomatic set theory, Springer, Heidelberg, 1973.

Right : [1] P. R. Halmos, Introduction to Hilbert space and the theory of spectral multiplicity, Chelsea, New York, 1951.
[2] P. R. Halmos, Lectures on Boolean algebras, Van Nostrand, New York, 1963.
[3] S. Mac Lane, Categories for the working mathematician, Springer, New York, 1971.
[4] S. Sakai, C-Algebras and W-algebras, Springer, Berlin, 1971.
[5] M. Takesaki, Theory of operator algebras I, Springer, New York, 1979.
[6] G. Takeuti, Two applications of logic to mathematics, Iwanami and Princeton University Press, Tokyo and Princeton, 1978.
[7] G. Takeuti, Boolean valued analysis, Applications of Sheaves, Ed. by Fourman, Mulvey and Scott, 714-731, Lecture Notes in Math., 753, Springer, Berlin, 1979.
[8] G. Takeuti, A transfer principle in harmonic analysis, J. Symbolic Logic, 44 (1979), 417-440.
[9] 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, Berlin, 1982.
[10] G. Takeuti, Von Neumann algebras and Boolean valued analysis, J. Math. Soc. Japan, 35 (1983), 1-21.
[11] G. Takeuti and W. M. Zaring, Axiomatic set theory, Springer, Heidelberg, 1973.

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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