Изометрии log-алгебр и их взаимосвязь с различными пространствами интегрируемых функций, построенных относительно σ-конечных мер

Avtorlar

  • Р.З Абдуллаев

    Tashkent University of Information Technology image/svg+xml

  • М Абдимуратов

    Nukus State Pedagogical Institute named after Ajiniyaz image/svg+xml

  • Ф Узакбаева

    Nukus State Pedagogical Institute named after Ajiniyaz image/svg+xml

Gilt sózler: изометрии, log-алгебры, σ-конечные меры, алгебры Аренса, F-пространства

Paydalanılǵan ádebiyatlar

1. Dykema K., Sukochev F., Zanin D. Algebras of log-integrable functions and operators. //Journal Complex Anal. Oper. Theory 10, 8. 2016, –Р. 1775–1787.

2. Abdullaev R. Isomorphisms of Arens algebra of type I. Rendiconti Seminario Facolta Scienze Universita Cagliari Vol.68 Fascic- olo Unico (1998), -Р. 27-36.

3. Абдуллаев Р., Мадаминов Б.. Критерий изоморфности log-интегрируемых алгебр. //Узбекский математический журнал.

4. Abdullaev R., Chilin V., Madaminov B. Isometric F-spaces of log-integrable function. //Siberian Electronic Mathematical Re- ports. 2020, Т. 17. –Р. 218-226.

5. Abdullaev R., Madaminov B.Isomorphisms and isometries of F-spaces of log-integrable measurable functions. //Uzbek Mathe- matical Journal. 2022. Vol. 66(1). –Р. 5-13. (01.00.00; №6).

6. Abdullaev R.Z., Chilin V. Isomorphic Classification of *-Algebras of log-Integrable Measurable Functions.//Algebra, Complex Analysis, and Pluripotential Theory. Springer Proceedings in Mathematics and Statistics, 264. USUZCAMP 2017. –Р.73-83.

7. Abdullaev R.Z., Chilin V.I. Arens algebras, associated with commutative von Neumann algebras.//Ann.Math.Blaise Pascal, Vol. 5, 1998 №.1.

8. Takesaki M. Theory of operator algebras. I. -New-York: Heidelberg Berlin: Springer, 1979, XII+415.

9. Yeadon F.J. Non-commutative L spaces. Math. Proc. Cambridge Phil.,Soc., 1975, v. 77, n. 1 -P. 91-102. p

10. Vladimirov D.A. Boolean Algebras in Analysis.//Mathematics and its Applications, 540, Kluwer Academic Publishers, Dordrecht, 2002.