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.
. (2025). Preserving some orthogonal operators on Banach spaces. Al-Qadisiyah Journal of Pure Science, 30(1), 53-56. doi: https://doi.org/10.29350/2411-3514.1268
MLA
. "Preserving some orthogonal operators on Banach spaces", Al-Qadisiyah Journal of Pure Science, 30, 1, 2025, 53-56. doi: https://doi.org/10.29350/2411-3514.1268
HARVARD
. (2025). 'Preserving some orthogonal operators on Banach spaces', Al-Qadisiyah Journal of Pure Science, 30(1), pp. 53-56. doi: https://doi.org/10.29350/2411-3514.1268
CHICAGO
, "Preserving some orthogonal operators on Banach spaces," Al-Qadisiyah Journal of Pure Science, 30 1 (2025): 53-56, doi: https://doi.org/10.29350/2411-3514.1268
VANCOUVER
. Preserving some orthogonal operators on Banach spaces. QJPS. 2025;30(1):53-56. doi: https://doi.org/10.29350/2411-3514.1268
