Some notes on the existence of an inequality in Banach algebra

Document Type: Research Articles


Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran.


We shall prove an existence inequality for two maps on Banach algebra, with
an example and in sequel we have some results on R and Rn spaces. This way
can be applied for generalization of some subjects of mathematics in teaching
which how we can extend a math problem to higher level.

[1] G. Klambauer, Mathematical Analysis, Marcel Dekker, Inc., New York,
[2] R. G. Douglas, Banach Algebra Techniques in Operator Theory, Springer-
Verlag, New York, 1998.