LOG-ALGEBRALARINING BERILISHI
Keywords:
Kalit so’zlar: O’lchovli fazo, vector fazo, F-norma, subadditivlik, topologiya, log-algebra.Abstract
Annotatsiya: Matematika rivojlanishining zamonaviy bosqichi fan sifatida mukammalikni, hamda zamonaviy olimlarning ilmiy adabiyotlarini jiddiy tahlil etishni talab etadi.
Ushbu muammo bilan F.Sukochev, K. Dykema, D. Zanin, Ayupov Sh.A, Chilin V.I, Abdullayev R.Z, Xudayberganov K.K kabi olimlar shug’ullanmoqda. Xususan, log-algebrasining izometriyasi mavzusi ustida hozirgi kunda bizning mamlakatimizning matematik olimlari hamda ko’pchilik ilmiy tadqiqotchilar shug’ullanmoqda.
Bu mavzuda hali ko’pchilik muammolar o’z yechimini topmagan. Shu sababli, maqola mavzusini log algebrasining berilishi deb nomladik.
References
1. F.J.Yedon. Isometries of non-commutative spaces. Math. Proc.Camb. soc. 90 (1981) 41-50 bet.
2. Dykema K., Sukochev F. and Zanin D. Algebras of log-integrable functions and operators. Arxiv 1509.
3. R.Abdullaev , V.Chilin. Isomorphic classification of *-algebras of log-integrable measurable functions. USUZCAMP 2017. Springer Proccedings in Mathematics and statistics 264. 73-83- bet.
5. Владимиров Д. А. Булевы алгебры, “Наука Москва”1969.
6. R.Abdullaev, B.Madaminov . Isomorphisms and isometries of F-spaces of log-integrable measurable functions. arXiv:33383988 [math.FA ] 24sep 2020.
7. Yeadon F.J. Non-commutative L -spaces. Math.Proc.Cambridge Phil. Soc., 1975, v. p77, No1, p.91-102.
8. Абдуллаев Р.З., Мадаминов Б.А., Условие изоморфности коммутативных logалгебр. Тезисы докладов конференции: Проблемы современной топологии и их приложения. Тошкент. 11-12 май 2017г,119-120.
9. T.A. Sarimsoqov. Haqiqiy o’zgaruvchining funksiyalar nazariyasi. “O’zbekiston”, Tosh.1993.
10. M.S.Salaxitdinov. Integral tenglamalar. “Yangiyo’l polygraph service”, Tosh.2007.
11. Sh.A. Ayupov, M.A. Berdiqulov, R.M. Turgunbaev. Funksiyalar nazariyasi.Tosh. “O’AJBNT” Markazi,2004.
12. Sh.A. Ayupov, M.A. Berdiqulov, R.M. Turgunbaev. Funksional analiz. Tosh. TDPU.2014.
13. www. edu.uz
14. http:// ziyonet.uz – Ziyonet axborot- ta’lim resurslari portal
15. www. tdpu.uz
16. www.ziyouz.com
