Open AccessSome Results on the Norm Attainment Set for Bounded Linear Operators on Smooth Banach Spaces
Author(s) -
Saied A. Johnny,
Buthainah A. A. Ahmed
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.si.2.4
Subject(s) - mathematics , finite rank operator , banach space , bounded function , approximation property , pure mathematics , bounded operator , linear operators , norm (philosophy) , banach manifold , operator theory , lp space , mathematical proof , discrete mathematics , mathematical analysis , geometry , political science , law
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.