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

Saied A. Johnny | Zendy; Buthainah A. A. Ahmed | Zendy

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Some 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.

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