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

Iraqi Journal of Science

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

Mathematics

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