Article PDF
Avoid common mistakes on your manuscript.
References
G. Takeuti, “Von Neumann algebras and Boolean valued analysis,” J. Math. Soc. Japan,35, No. 1, 1–21 (1983).
G. Takeuti, “C *-algebras and Boolean valued analysis,” Japan. J. Math.,9, No. 2, 207–245 (1983).
M. Ozawa, “Boolean valued interpretation of Hilbert space theory,” J. Math. Soc. Japan,35, No. 4, 609–627 (1983).
M. Ozawa, “A classification of type IAW *-algebras and Boolean valued analysis,” J. Math. Soc. Japan,36, No. 4, 589–608 (1984).
M. Ozawa, “Boolean valued analysis approach to the trace problem ofAW *-algebras,” J. London Math. Soc.,33, No. 2, 347–354 (1986).
M. Ozawa, “Boolean valued interpretation of Banach space theory and module structures of von Neumann algebras,” Nagoya Math. J.,117, 1–36 (1990).
A. G. Kusraev, “On functional realization of type 1AW *-algebras,” Sibirsk. Mat. Zh.,32, No. 3, 79–88 (1991).
A. G. Kusraev and S. S. Kutateladze, “Nonstandard methods in geometric functional analysis,” in: Abstracts: Second All-Union School on Algebra and Analysis (Tomsk, 1989) [in Russian], Tomsk, 1989, pp. 140–165.
P. Jordan, J. von Neumann, and E. Wigner, “On an algebraic generalization of the quantum mechanic formalism,” Ann. Math.,35, 29–64 (1944).
E. M. Alfsen, F. W. Shultz, and E. Störmer, “A Gel'fand-Neumark theorem for Jordan algebras,” Adv. Math.,28, No. 1, 11–56 (1978).
H. Hanshe-Olsen and E. Störmer, Jordan Operator Algebras, Pitman Publ. Inc., Boston (1984).
Sh. A. Ayupov, “Jordan operator algebras,” in: Sovrem. Probl. Mat. Fund. Naprav.,27, VINITI, Moscow, 1985, pp. 67–97.
Sh. A. Ayupov, Classification and Representation of Ordered Jordan Algebras [in Russian], Fan, Tashkent (1986).
F. W. Shultz, “On normed Jordan algebras which are Banach dual spaces,” J. Funct. Anal.,31, No. 3, 360–376 (1979).
A. G. Kusraev and S. S. Kutateladze, Nonstandard Methods of Analysis [in Russian], Nauka, Novosibirsk (1990).
A. G. Kusraev, “Linear operators in lattice-normed spaces,” in: Studies on Geometry in the Large and Mathematical Analysis. Vol. 9 [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk, 1987, pp. 84–123.
A. G. Kusraev, Vector Duality and Its Applications [in Russian], Nauka, Novosibirsk (1985).
V. A. Lyubetskii and E. I. Gordon, “Boolean extensions of uniform structures,” in: Studies on Nonclassical Logics and Formal Systems [in Russian], Nauka, Moscow, 1983, pp. 82–153.
Author information
Authors and Affiliations
Additional information
Translated fromSibirskii Matematicheskii Zhurnal, Vol. 35, No. 1, pp. 124–134, January–February, 1994.
Rights and permissions
About this article
Cite this article
Kusraev, A.G. Boolean-valued analysis andJB-algebras. Sib Math J 35, 114–122 (1994). https://doi.org/10.1007/BF02104953
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02104953