6 papers · 1 filter
Positive linear functionals on BP*-algebras
M. El Azhari
Let A be a BP*-algebra with identity e, P_{1}(A) be the set of all positive linear functionals f on A such that f(e) = 1, and let M_{s}(A) be the set of all nonzero hermitian multi…
A real seminorm with square property is submultiplicative
M. El Azhari
A seminorm with square property on a real associative algebra is submultiplicative
On uniform topological algebras
M. El Azhari
The uniform norm on a uniform normed Q-algebra is the only uniform Q-algebra norm on it. The uniform norm on a regular uniform normed Q-algebra with unit is the only uniform norm o…
A real p-homogeneous seminorm with square property is submultiplicative
M. El Azhari
We give a functional representation theorem for a class of real p-Banach algebras. This theorem is used to show that every p-homogeneous seminorm with square property on a real ass…
On saturated uniformly A-convex algebras
M. El Azhari
Following ideas of A.C.Cochran, we give a suitable definition of a saturated uniformly A-convex algebra. In the m-convex case, such algebra is a uniform topological one.
A remark on continuity of positive linear functionals on separable Banach *-algebras
M. El Azhari
Using a variation of the Murphy-Varopoulos Theorem, we give a new proof of the following R.J.Loy Theorem: Let A be a separable Banach*-algebra with center Z such that ZA has at mos…