Open AccessReal Characterization on Order Banach Algebra
Author(s) -
Boushra Youssif,
Sarah Fahim Hassan
Publication year - 2016
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v12i9.126
Subject(s) - mathematics , character (mathematics) , banach algebra , banach space , pure mathematics , order (exchange) , approximation property , characterization (materials science) , identity (music) , banach manifold , algebra over a field , lp space , materials science , geometry , physics , finance , acoustics , economics , nanotechnology
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.