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

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 thi...

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Bibliographic Details
Published in:Iraqi journal of science 2021-05, p.35-44
Main Authors: Johnny, Saied A., Ahmed, Buthainah A. A.
Format: Article
Language:English
Online Access:Get full text
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Summary: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. 
ISSN:0067-2904
2312-1637
DOI:10.24996/ijs.2021.SI.2.4