Обратимые AJW-алгебры

Образец цитирования: Ayupov S. A.,  Arzikulov F. N. Reversible AJW-algebras // Владикавк. мат. журн. 2013. Том 18, вып. 3. С. 15-21. DOI 10.23671/VNC.2016.3.5872

1. Albeverio S., Ayupov Sh. A. and Abduvaitov A. H. On Real AW*-algebras. Methods of Functional Analysis and Topology. 2005. Vol. 11, № 2. P. 99-112.

2. Albeverio S., Ayupov Sh. A. and Abduvaitov A. H. On the coincidence of types of a real AW*-algebra and its comlexification.  News of Russian Acad. of Sci. Math. ser. 2004. Vol. 68. P. 3-12. [Russian].

3. Arzikulov F. N. On abstract JW-algebras.  Sib. Math. J. 1998. Vol. 39. P. 20-27.

4. Arzikulov F. N. On an analog of the Peirce decomposition  //
Sib. Math. J. 1999. Vol. 40. P. 413-419.

5.  Arzikulov F. N. AJW-algebras of type I and their classification. Sib. Adv. Math. 1998. Vol. 8. P. 30-48.

6. Ayupov Sh. A. Traces on JW-algebras and enveloping \(W^{\ast}\)-algebras. Math. Z. 1987. Vol. 194. P. 15-23.

7. Ayupov Sh. Classification and representation of ordered Jordan algebras Fan. Tashkent, 1986. [Russian].

8. Chilin V. I. Partial ordered Baer involutive algebras. Sovrem. Problemy Matematiki, Itogi nauki i tehkniki. VINITI. 1985. Vol. 27. P. 99-128. [Russian].

9. Hanche-Olcen H., Stormer E. Jordan Operator Algebras. Boston etc: Pitman Publ. Inc., 1984.

10. Kusraev A. G. On the structure of AJW-algebras of type \(I_2\). Sib. Math. J. 1999. Vol. 40. P. 905-917.

11. Li B. Real operator algebras. Institute of Mathematics. China: Acad. Sinica Beijing, 2002.

12.  Sakai S. \(C^{\ast}\)-algebras and \(W^{\ast}\)-algebras. Springer, 1971.

13. Stormer E. Jordan algebras of type I. Acta. Math. 1966. Vol. 115. P. 165-184.

14. Topping D. M. Jordan algebras of self-adjoint operators. Mem. Am. Math. Soc. 1965. Vol. 53.