Real Characterization on Order Banach Algebra
DOI:
https://doi.org/10.24297/jam.v12i9.126Keywords:
order Banach algebra, algebra cone, dual cone, character.Abstract
In this paper we will study the real character on order Banach algebra with identity, and study character onorder Banach algebrawithout identity. We proved some properties on real character it. We define set of all character and prove it with some condition convex set and used it to prove all character is extreme point, we introduce dual cone in order Banach space .Also we show any order Banach algebra satisfying certain conditions is isomorphic to the space valued continuous function C0(x) forsuitable a locally compact Housdorf space.Downloads
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References
[1] D.Holland "Banach Algebra Notes", OregonState University .American, February 2015.
[2] D.W. Robinson and S. Yammer, "Addition of an identity to an ordered Banach Space", J. Austral. Math. Soc. 35 (1983), 200-210. [3] H.Raubenheimer and S. Rode "Cone in Banach Algebra", M.Sc.thesis, University Of the Orange Free State, Indag.Mathem .N.S 7(4).489.502, 1996.
[4] J.B. Conway," A course in Functional Analysis", NewYork, 1990. [5] J.M. Erdman ", Lecture Notes on Operator Algebra", Portland state University, Ph.D. thesis,Portland State University,2011.
[6] R. de Jong," Ordered Banach Algebras" Ms. Thesis, Leiden University, 2010.
[2] D.W. Robinson and S. Yammer, "Addition of an identity to an ordered Banach Space", J. Austral. Math. Soc. 35 (1983), 200-210. [3] H.Raubenheimer and S. Rode "Cone in Banach Algebra", M.Sc.thesis, University Of the Orange Free State, Indag.Mathem .N.S 7(4).489.502, 1996.
[4] J.B. Conway," A course in Functional Analysis", NewYork, 1990. [5] J.M. Erdman ", Lecture Notes on Operator Algebra", Portland state University, Ph.D. thesis,Portland State University,2011.
[6] R. de Jong," Ordered Banach Algebras" Ms. Thesis, Leiden University, 2010.
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Published
2016-09-30
How to Cite
Youssif, B., & Hassan, S. F. (2016). Real Characterization on Order Banach Algebra. JOURNAL OF ADVANCES IN MATHEMATICS, 12(9), 6564–6571. https://doi.org/10.24297/jam.v12i9.126
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