Analytical study on approximate ?-Birkhoff-James orthogonality
Other Title(s)
دراسة تحليلية حول تعامد بيركوف-? جيمس التقريبي
Joint Authors
Juni, Said Abd al-Kazim
Ahmad, Buthaynah Abd al-Hasan
Source
Issue
Vol. 61, Issue 7 (31 Jul. 2020), pp.1751-1758, 8 p.
Publisher
University of Baghdad College of Science
Publication Date
2020-07-31
Country of Publication
Iraq
No. of Pages
8
Main Subjects
Abstract EN
In this paper, we obtain a complete characterization for the norm and the minimum norm attainment sets of bounded linear operators on a real Banach spaces at a vector in the unit sphere, using approximate ?-Birkhoff-James orthogonality techniques.
As an application of the results, we obtained a useful characterization of bounded linear operators on a real Banach spaces.
Also, using approximate ?-Birkhoff -James orthogonality proved that a Banach space is a reflexive if and only if for any closed hyperspace of , there exists a rank one linear operator such that , for some vectors in and such that ? .Mathematics subject classification (2010): 46B20, 46B04, 47L05.
American Psychological Association (APA)
Juni, Said Abd al-Kazim& Ahmad, Buthaynah Abd al-Hasan. 2020. Analytical study on approximate ?-Birkhoff-James orthogonality. Iraqi Journal of Science،Vol. 61, no. 7, pp.1751-1758.
https://search.emarefa.net/detail/BIM-970127
Modern Language Association (MLA)
Juni, Said Abd al-Kazim& Ahmad, Buthaynah Abd al-Hasan. Analytical study on approximate ?-Birkhoff-James orthogonality. Iraqi Journal of Science Vol. 61, no. 7 (2020), pp.1751-1758.
https://search.emarefa.net/detail/BIM-970127
American Medical Association (AMA)
Juni, Said Abd al-Kazim& Ahmad, Buthaynah Abd al-Hasan. Analytical study on approximate ?-Birkhoff-James orthogonality. Iraqi Journal of Science. 2020. Vol. 61, no. 7, pp.1751-1758.
https://search.emarefa.net/detail/BIM-970127
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 1758
Record ID
BIM-970127