Examples



mdbootstrap.com



 
Статья
2013

Geometric description of L 1-Spaces


M. M. IbragimovM. M. Ibragimov, K. K. KudaibergenovK. K. Kudaibergenov
Русская математика
https://doi.org/10.3103/S1066369X1309003X
Abstract / Full Text

We describe strongly facially symmetric spaces which are isometrically isomorphic to L 1-space.

Author information
  • Karakalpakiya State University, ul. Akad. Ch. Abdirova 1, Nukus, 230113, Republic of UzbekistanM. M. Ibragimov & K. K. Kudaibergenov
References
  1. Y. Friedman and B. Russo, “A Geometric Spectral Theorem,” Quart. J. Math. Oxford 37(2), 263–277 (1986).
  2. Y. Friedman and B. Russo, “Some Affine Geometric Aspects of Operator Algebras,” Pacif. J. Math. 137(1), 123–144 (1989).
  3. Y. Friedman and B. Russo, “Geometry of the Dual Ball of the Spin Factor,” Proc. Lon. Math. Soc., III Ser. 65(1), 142–174 (1992).
  4. Y. Friedman and B. Russo, “Classification of Atomic Facially Symmetric Spaces,” Canad. J. Math. 45(1), 33–87 (1993).
  5. M. Neal and B. Russo, “State Space of JB*-Triples,” Math. Ann. 328(4), 585–624 (2004).
  6. M. M. Ibragimov, K. K. Kudaibergenov, S. Zh. Tleumuratov, and Zh. Kh. Seipullaev, “Geometric Description of the Preduals of Atomic Commutative von Neumann Algebras,” Matem. Zametki 93(5), 726–733 (2013).
  7. Y. Friedman and B. Russo, “Affine Structure of Facially Symmetric Spaces,” Math. Proc. Camb. Philos. Soc. 106(1), 107–124 (1989).
  8. J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces. II. Function Spaces (Springer, 1979).
  9. S. Kakutani, “Concrete Representation of Abstract L-Spaces and the Mean Ergodic Theorem,” Ann. Math. 42(2), 523–537 (1941).