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Saif R. Alsaffar, Jehad R. Kider,

The Spectral of Convex Bounded Linear Operators on Convex Normed Spaces.

Int. J. Math. Comput. Sci., 20, no. 2, (2025), 529-537

DOI:

https://doi.org/10.69793/ijmcs/02.2025/alsaffar

Keywords and phrases:

Convex absolute value, Convex normed space, Convex bounded operators,Convex norm for Convex bounded operators.

Abstract:

We introduce the concept of a convex bounded operator and we define the convex norm for convex bounded linear operator. The aim of this research is to introduce the properties of the spectrum and resolvent sets of convex bounded linear operators on convex normed spaces.