Local theory of rings of operators II

Tamio ONO

doi:10.2969/jmsj/01040438

Tamio ONO

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JOURNAL FREE ACCESS

1958 Volume 10 Issue 4 Pages 438-458

DOI https://doi.org/10.2969/jmsj/01040438

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Published: 1958 Received: November 13, 1957 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) T. Ono, Local theory of rings of operators I, J. Math. Soc. Japan, 10 (1958), 184-217.
2) J. Dixmier, Les anneaux d'opérateurs de classe finie, Ann. Sci. École Norm. Sup., 66 (1949), 209-261.
3) J. Feldman, Embedding of AW*-algebras, Duke Math. J., 23 (1956), 303-307.
4) J. v. Neumann, On some algebraical properties of operator rings, Ann. of Math., 44 (1943), 709-715.
5) Y. Misonou, Unitary equivalence of factors of type III, Proc. Japan Acad., 29 (1953), 482-485.
6) E. L. Griffin, Some contributions to the theory of rings of operators, Trans. Amer. Math. Soc., 75 (1953), 471-504,
7) E. L. Griffin, Some contributions to the theory of rings of operators, Trans. Amer. Math. Soc., 78 (1955), 389-400.
8) F. J. Murray and J. v. Neumann, On rings of operators, Ann. of Math., 37 (1936), 116-229.
9) Ti. Yen, Trace on finite AW*-algebras I, Duke. Math. J., 22 (1955), 207-221.
10) I. E. Segal, Decomposition of operator algebras I, II, Mem. of the Amer. Math. Soc., No. 9 (1951).
11) K. Yosida, Unitary equivalence ni tuite, Sugaku, 1 (1948), 88-89.
12) M. Eidelheit, On isomorphism of linear algebras, Studia Math., 9 (1939), 97-104.
13) Y. Kawada, On operator algebras on Banach spaces, Proc. Imp. Acad. Tokyo, 29 (1953), 482-485.
14) F. J. Murray and J. v. Neumann, On rings of operators IV, Ann, of Math., 44 (1943), 716-808.
15) I. Kaplansky, Algebras of type I, Ann. of Math., 56 (1.952), 460-472.
16) R. Kadison, Isomorphisms of factors of infinite type, Canadian J. Math., 7 (1955), 322-327.

Right : [1] T. Ono, Local theory of rings of operators I, J. Math. Soc. Japan, 10 (1958), 184-217.
[2] J. Dixmier, Les anneaux d'opérateurs de classe finie, Ann. Sci. École Norm. Sup., 66 (1949), 209-261.
[3] J. Feldman, Embedding of AW-algebras, Duke Math. J., 23 (1956), 303-307.
[4] J. v. Neumann, On some algebraical properties of operator rings, Ann. of Math., 44 (1943), 709-715.
[5] Y. Misonou, Unitary equivalence of factors of type III, Proc. Japan Acad., 29 (1953), 482-485.
[6] E. L. Griffin, Some contributions to the theory of rings of operators, Trans. Amer. Math. Soc., 75 (1953), 471-504.
[7] E. L. Griffin, Some contributions to the theory of rings of operators, Trans. Amer. Math. Soc., 78 (1955), 389-400.
[8] F. J. Murray and J. v. Neumann, On rings of operators, Ann. of Math., 37 (1936), 116-229.
[9] Ti. Yen, Trace on finite AW-algebras I, Duke. Math. J., 22 (1955), 207-221.
[10] I. E. Segal, Decomposition of operator algebras I, II, Mem. of the Amer. Math. Soc., No. 9 (1951).
[11] K. Yosida, Unitary equivalence ni tuite, Sugaku, 1 (1948), 88-89.
[12] M. Eidelheit, On isomorphism of linear algebras, Studia Math., 9 (1939), 97-104.
[13] Y. Kawada, On operator algebras on Banach spaces, Proc. Imp. Acad. Tokyo, 29 (1953), 482-485.
[14] F. J. Murray and J. v. Neumann, On rings of operators IV, Ann. of Math., 44 (1943), 716-808.
[15] I. Kaplansky, Algebras of type I, Ann. of Math., 56 (1952), 460-472.
[16] R. Kadison, Isomorphisms of factors of infinite type, Canadian J. Math., 7 (1955), 322-327.
[17] J. Tomiyama, A remark on the invariants of W-algebras, Tohoku Math. J., 10 (1958), 47-41,
[18] R. Kadison, Unitary invariants for representations of operator algebras, Ann. of Math., 66 (1957), 304-379.

Date of correction: August 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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