A Commutative and Compact Derivations for W* Algebras

Hassan, Abdelgabar Adam; Jawed, Mohammad

doi:10.28924/2291-8639-18-2020-644

Research Article

A Commutative and Compact Derivations for W* Algebras

Abdelgabar Adam Hassan¹*
Mohammad Jawed

Jouf University - College of Science and Arts in Tabrjal - Department of Mathematics - kingdom of Saudi Arabia

* Corresponding author

Abstract

In this paper, we study the compact derivations on W* algebras. Let M be W*-algebra, let LS(M) be algebra of all measurable operators with M, it is show that the results in the maximum set of orthogonal predictions. We have found that W* algebra A contains the Center of a W* algebra ß and is either a commutative operation or properly infinite. We have considered derivations from W* algebra two-sided ideals.

How to Cite

A. A. Hassan, M. Jawed, A Commutative and Compact Derivations for W* Algebras, Int. J. Anal. Appl. 18 (2020), 644–662. https://doi.org/10.28924/2291-8639-18-2020-644

BibTeX

@article{Hassan2020,
  author  = {Hassan, Abdelgabar Adam and Jawed, Mohammad},
  title   = {A Commutative and Compact Derivations for W* Algebras},
  journal = {Int. J. Anal. Appl.},
  volume  = {18},
  year    = {2020},
  pages   = {644--662},
  doi     = {10.28924/2291-8639-18-2020-644}
}

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