Some Results on the Norm Attainment Set for Bounded Linear Operators on Smooth Banach Spaces

Saied A.  Johnny; Buthainah A. A.  Ahmed

doi:10.24996/ijs.2021.SI.2.4

Authors

Saied A. Johnny Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Buthainah A. A. Ahmed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.SI.2.4

Keywords:

⊥_BJC^ϵ-orthogonality, ⊥_BJC^ϵ-symmetric, preserve of ⊥_BJC^ϵ-orthogonality, smoothness of Banach spaces

Abstract

In this paper, we give new results and proofs that include the notion of norm attainment set of bounded linear operators on a smooth Banach spaces and using these results to characterize a bounded linear operators on smooth Banach spaces that preserve of approximate - -orthogonality. Noting that this work takes brief sidetrack in terms of approximate - -orthogonality relations characterizations of a smooth Banach spaces.