訂正日: 2006/09/26訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) I. Gelfand, Normierte Ringe, Mat. Sbornik, 9 (1941), 3-24. 2) D. B. Goodner, Projections in normed linear spaces, Trans. Amer. Math. Soc., 69 (1950), 89-108. 3) M. Hasumi, The extension property of complex Banach spaces, Tohoku Math. J., 10 (1958), 135-142. 4) S. Kametani, An elementary proof of the fundamental theorem of normed fields, J. Math. Soc. Japan, 4 (1952), 96-99. 5) I. Kaplansky, Modules over operator algebras, Amer. Math. J., 6 (1953), 839-858. 6) I. Kaplansky, Normed algebras, Duke Math. J., 16 (1949), 399-418. 7) J. L. Kelley, Banach spaces with the extension property, Trans. Amer. Math. Soc., 72 (1952), 323-326. 8) L. Nachbin, A theorem of the Hahn-Banach type for linear transformations, Trans. Amer. Math. Soc., 68 (1950), 28-46. 9) M. Nakai, Some expectations in AW*-algebras, Proc. Japan Acad., 34 (1958), 411-416. 10) T. Ono, Local theory of rings of operators I, J. Math. Soc. Japan, 10 (1958), 184-216. 11) T. Ono, Local theory of rings of operators II, J. Math. Soc. Japan, 10 (1958), 438-458. 12) 13) C. E. Rickart, An elementary proof of a fundamental theorem in the theory of Banach algebras, Mich. Math. J., 5 (1958), 75-78. 14) H. Widom, Embedding in algebras of type I, Duke Math. J., 22 (1956), 309-324.
Right : [1] I. Gelfand, Normierte Ringe, Mat. Sbornik, 9 (1941), 3-24. [2] D. B. Goodner, Projections in normed linear spaces, Trans. Amer. Math. Soc., 69 (1950), 89-108. [3] M. Hasumi, The extension property of complex Banach spaces, Tôhoku Math. J., 10 (1958), 135-142. [4] S. Kametani, An elementary proof of the fundamental theorem of normed fields, J. Math. Soc. Japan, 4 (1952), 96-99. [5] I. Kaplansky, Modules over operator algebras, Amer. Math. J., 6 (1953), 839-858. [6] I. Kaplansky, Normed algebras, Duke Math. J., 16 (1949), 399-418. [7] J. L. Kelley, Banach spaces with the extension property, Trans. Amer. Math. Soc., 72 (1952), 323-326. [8] L. Nachbin, A theorem of the Hahn-Banach type for linear transformations, Trans. Amer. Math. Soc., 68 (1950), 28-46. [9] M. Nakai, Some expectations in AW-algebras, Proc. Japan Acad., 34 (1958), 411-416. [10] T. Ono, Local theory of rings of operators I, J. Math. Soc. Japan, 10 (1958), 184-216. [11] T. Ono, Local theory of rings of operators II, J. Math. Soc. Japan, 10 (1958), 438-458. [12] T. Ono, An elementary proof of the fundamental theorem of normed rings, Sugaku, 9 (1958), p. 236 (Japanese). [13] C. E. Rickart, An elementary proof of a fundamental theorem in the theory of Banach algebras, Mich. Math. J., 5 (1958), 75-78. [14] H. Widom, Embedding in algebras of type I, Duke Math. J., 22 (1956), 309-324.