Eigenvalues of s-type operators on C ( p ) $C(p)$ equipped with a pre-quasi norm

Abstract

Abstract We investigate some new topological properties of the multiplication operator on C ( p ) $C(p)$ defined by Lim (Tamkang J. Math. 8(2):213–220, 1977) equipped with the pre-quasi-norm and the pre-quasi-operator ideal formed by this sequence space and s-numbers.

Keywords

• Pre-quasi-norm
• Multiplication operator
• Fredholm operator
• Approximable operator
• Simple Banch space