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

  • 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
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. 

Published
2021-05-08
How to Cite
Johnny, S. A., & Ahmed, B. A. A. (2021). Some Results on the Norm Attainment Set for Bounded Linear Operators on Smooth Banach Spaces. Iraqi Journal of Science, 35-44. https://doi.org/10.24996/ijs.2021.SI.2.4
Section
Mathematics

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