@article{VMJ_1999_1_3_a2,
author = {A. G. Kusraev},
title = {On the structure of $AJW$-algebras of type $I_2$},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {18--30},
year = {1999},
volume = {1},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_1999_1_3_a2/}
}
A. G. Kusraev. On the structure of $AJW$-algebras of type $I_2$. Vladikavkazskij matematičeskij žurnal, Tome 1 (1999) no. 3, pp. 18-30. http://geodesic.mathdoc.fr/item/VMJ_1999_1_3_a2/
[1] Kusraev A. G., “O funktsionalnoi realizatsii $AW^*$-algebr tipa I”, Sib. mat. zhurn., 32:4 (1991), 79–88 | MR
[2] Kusraev A. G., “Bulevoznachnyi analiz i $JB$-algebry”, Sib. mat. zhurn., 35:1 (1994), 124–134 | MR | Zbl
[3] Topping D. M., Jordan algebras of self-adjoint operators, Mem. Amer. Math. Soc., 53, 1965 | MR | Zbl
[4] Arzikulov F. N., “Ob abstraktnykh $JW$-algebrakh”, Sib. mat. zhurn., 39:1 (1998), 20–27 | MR | Zbl
[5] Arzikulov F. N., $AJW$-algebry i prilozheniya k teorii izmerimykh operatorov, Diss. na soisk. step. kand. fiz.-mat. nauk, IM SO RAN, Novosibirsk, 1998
[6] Arzikulov F. N., “Ob odnom analoge pirsovskogo razlozheniya”, Sib. mat. zhurn., 40:3 (1999) | MR | Zbl
[7] Hanshe-Olsen H., Störmer E., Jordan operator algebras, Pitman Publ. Inc., Boston etc., 1984 | MR
[8] Ayupov Sh. A., Klassifikatsiya i predstavlenie uporyadochennykh iordanovykh algebr, Fan, Tashkent, 1986 | MR
[9] Ayupov Sh. A., “Iordanovy operatornye algebry”, Sovremennye problemy matematiki. Noveishie dostizheniya, 27, VINITI, M., 1985, 67–97 | MR
[10] Alfsen E. M., Shultz F. W., Störmer E., “A Gel'fand-Neumark theorem for Jordan algebras”, Adv. in Math., 28:1 (1978), 11–56 | DOI | MR | Zbl
[11] Kusraev A. G., Kutateladze S. S., Bulevoznachnyi analiz, Nauka, Novosibirsk, 1999 | MR
[12] Kusraev A. G., “Mazhoriruemye operatory”, Lineinye operatory, soglasovannye s poryadkom, Izd-vo IM SO RAN, Novosibirsk, 1995, 212–292 | MR
[13] Ozawa M., “A classification of type I $AW^*$-algebras and Boolean valued analysis”, J. Math. Soc. Japan, 36:4 (1984), 589–608 | DOI | MR
[14] Stacey P. J., “Type $I_2$ $JBW$-algebras”, Quart. J. Math. Oxford, 33:2 (1982), 115–127 | DOI | MR
[15] Sentilles F. D., “Stonian differentiation and representation of vector functions and measures”, Contemp. Math., 2, 1980, 241–269 | MR | Zbl
[16] Kusraev A. G., Vektornaya dvoistvennost i ee prilozheniya, Nauka, Novosibirsk, 1985 | MR | Zbl
[17] Gutman A. E., “Banakhovy rassloeniya v teorii reshetochno normirovannykh prostranstv”, Lineinye operatory, soglasovannye s poryadkom, Izd-vo IM SO RAN, Novosibirsk, 1995, 63–211 | MR