- All Journals
- Al-Qadisiyah University
- Basrah University
- Kirkuk University
- Mosul University
- The Iraqi Borad for Medical Specialization
- University of Anbar
- University of Technology
- Al Mustafa University
- Al-Zahraa University for Women
- Alnoor University
- Kunooz University
- Misan University
- Ninevah University
- Tikrit University
- University of Al-Hamdaniya
- University of Kerbala
Preserving some orthogonal operators on Banach spaces | ||
| Al-Qadisiyah Journal of Pure Science | ||
| Volume 30, Issue 1, June 2025, Pages 53-56 PDF (135.93 K) | ||
| DOI: https://doi.org/10.29350/2411-3514.1268 | ||
| Abstract | ||
| In this article, the BirkhoffeJames orthogonality on a real Banach space X from linear operators and the category of conjugate linear mapping ∅ : BðHÞ/BðHÞ that keep the strong orthogonality in both spaces is explored. We also investigate left orthogonal Birkhoff-James symmetry of linear operators defined on X. We also prove, for every strictly convex and smooth real Banach space X, T∈LðXÞ is left symmetric if and only if T operators are zero. We also examine operator spaces l 2 pðp 2; ps∞Þ and determine its left symmetric operators. | ||
| Keywords | ||
| Birkhoff-James orthogonality; Linear operators; Symmetry; Banach space | ||
|
Statistics Article View: 28 PDF Download: 22 |
||