Some notes on the existence of an inequality in Banach algebra

Subject Areas : Applied Mathematics

M. Asadi ¹

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

Received: 2015-09-28 Accepted : 2015-09-28 Published : 2013-12-01

Keywords: Banach algebra, Norm inequality,

Abstract :

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

References:

[1] G. Klambauer, Mathematical Analysis, Marcel Dekker, Inc., New York,
1975.
[2] R. G. Douglas, Banach Algebra Techniques in Operator Theory, Springer-
Verlag, New York, 1998.