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Triple centralizers of C*-algebras
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In this paper, we extend the concept of double centralizer to triple centralizer and we show that, the triple centralizer is a $C{^*}$-algebra. Some algebraic properties are investigated.
Abstract
In this paper, we extend the concept of double centralizer to triple centralizer and we show that, the triple centralizer is a $C{^*}$-algebra. Some algebraic properties are investigated.
참고문헌 (7)
- R.C. Busby, "Double centralizers and extensions of C-algebras", pp.79~99 (1968), Transactions of the American Mathematical Society
- C. L. Chuang, "The double centralizer theorem for semiprime algebras", Algebras and Representation Theory, 17(4), pp.1277~1288 (2014)
- M. E. Gordji, "Quadratic double centralizers and quadratic multipliers", Annali dell'universita'di ferrara, 57(1), pp.27~38 (2011)
- B. E. Johnson, "An introduction to the theory of centralizers", Proceedings of the London Mathematical Society, 3(2), pp.299~320 (1964)
- G. Hochschild, "Cohomology and representations of associative algebras", Duke Math. J, 14(4), pp.921~948 (1947)
- M. S. Moslehian, "Approximate double centeralizers are exact double centeralizers", Bol. Soc. Mat. Mexicana, 3, pp.111~122 (2007)
- G. J. Murphy, "C-algebras and operator theory" (1990), Academic Press, Inc
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