訂正日: 2006/08/29訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) F. J. Murray and J. v. Neumann, On rings of operators, Ann. of Math., 37 (1936), 116-229. 2) F. J. Murray and J. v. Neumann, On rings of operators II, Trans. Amer. Math. Soc., 41 (1937), 208-248. 3) J. V. Neumann, On rings of operators III, Ann. of Math., 41 (1940), 94-161. 4) F. J. Murray and J. v. Neumann, On rings of operators IV, Ann, of Math., 44 (1943), 716-808. 5) J. Dixmier, Les anneaux d'operateurs de classe finie, Ann. Sci. École Norm. Sup., 66 (1949), 209-261. 6) I. Kaplansky, Projections in Banach algebras, Ann. of Math., 53 (1951), 235-249. 7) I. E. Segal, Decomposition of operator algebras I, II, Mem. of Amer. Math. Soc. No. 9 (1951). 8) Ti. Yen, Trace on finite AW*-algebras, Duke Math. J., 23 (1956), 207-221. 9) M. Goldman, Structure of AW*-algebras I, Duke Math. J., 23 (1956), 23-28. 10) C. E. Rickart, Banach algebras with an adjoint operation, Ann, of Math., (2) 47 (1946), 528-550. 11) M. Fukamiya, On a theorem of Gelfand and Neumark and the B*-algebra, Kumamoto Journal Scientific Academic, No. 1 (1952), 17-22. 12) J. L. Kelley and R. L. Vaught, The positive cone in Banach algebras, Trans. Amer. Math. Soc., 74 (1953), 44-55. 13) I. Kaplansky, An appendix added in October 1955 to the paper "Topological algebra". 14) M. Fukamiya, On a theorem of Gelfand and Neumark and the B*-algebra, Math. Review, 14 (1953), 713-934. 15) T. Ono, Local theory of rings of operators II, forthcoming on the same Journal.
Right : [1] F. J. Murray and J. v. Neumann, On rings of operators, Ann. of Math., 37 (1936), 116-229. [2] F. J. Murray and J. v. Neumann, On rings of operators II, Trans. Amer. Math. Soc., 41 (1937), 208-248. [3] J. v. Neumann, On rings of operators III, Ann. of Math., 41 (1940), 94-161. [4] F. J. Murray and J. v. Neumann, On rings of operators IV, Ann. of Math., 44 (1943), 716-808. [5] J. Dixmier, Les anneaux d'operateurs de classe finie, Ann. Sci. École Norm. Sup., 66 (1949), 209-261. [6] I. Kaplansky, Projections in Banach algebras, Ann. of Math., 53 (1951), 235-249. [7] I. E. Segal, Decomposition of operator algebras I, II, Mem. of Amer. Math. Soc. No. 9 (1951). [8] Ti. Yen, Trace on finite AW-algebras, Duke Math. J., 23 (1956), 207-221. [9] M. Goldman, Structure of AW-algebras I, Duke Math. J., 23 (1956), 23-28. [10] C. E. Rickart, Banach algebras with an adjoint operation, Ann. of Math., (2) 47 (1946), 528-550. [11] M. Fukamiya, On a theorem of Gelfand and Neumark and the B-algebra, Kumamoto Journal Scientific Academic, No. 1 (1952), 17-22. [12] J. L. Kelley and R. L. Vaught, The positive cone in Banach algebras, Trans. Amer. Math. Soc., 74 (1953), 44-55. [13] I. Kaplansky, An appendix added in October 1955 to the paper “Topological algebra”. [14] M. Fukamiya, On a theorem of Gelfand and Neumark and the B-algebra, Math. Review, 14 (1953), 713-934. [15] T. Ono, Local theory of rings of operators II, forthcoming on the same Journal.