Some Results on the Norm Attainment Set for Bounded Linear Operators on Smooth Banach Spaces
| Autor: | Saied A. Johnny, Buthainah A. A. Ahmed |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Mathematics::Functional Analysis
Pure mathematics General Computer Science 010102 general mathematics Linear operators Banach space 010103 numerical & computational mathematics General Chemistry Mathematical proof 01 natural sciences General Biochemistry Genetics and Molecular Biology Set (abstract data type) Orthogonality Bounded function Norm (social) 0101 mathematics Mathematics |
| Zdroj: | Iraqi Journal of Science. :35-44 |
| ISSN: | 2312-1637 0067-2904 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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