On Some Isomorphisms between Bounded Linear Maps and Non-Commutative Lp-Spaces

Atto, E. J.; Assiamoua, V.S.K.; Mensah, Y.

Research Article

On Some Isomorphisms between Bounded Linear Maps and Non-Commutative Lp-Spaces

E. J. Atto¹*
V.S.K. Assiamoua
Y. Mensah

University of Lomé-TOGO

* Corresponding author

Abstract

We define a particular space of bounded linear maps using a Von Neumann algebra and some operator spaces. By this, we prove some isomorphisms, and using interpolation in some particular cases, we get analogue of non-commutative Lp spaces.

How to Cite

E. J. Atto, V. S. K. Assiamoua, Y. Mensah, On Some Isomorphisms between Bounded Linear Maps and Non-Commutative Lp-Spaces, Int. J. Anal. Appl. 5 (2014), 123–135.

BibTeX

@article{Atto2014,
  author  = {Atto, E. J. and Assiamoua, V.S.K. and Mensah, Y.},
  title   = {On Some Isomorphisms between Bounded Linear Maps and Non-Commutative Lp-Spaces},
  journal = {Int. J. Anal. Appl.},
  volume  = {5},
  year    = {2014},
  pages   = {123--135},
  doi     = {}
}

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