Preserving some orthogonal operators on Banach spaces

Authors

Dhuha Najah Hossein Al-Khalidi, Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranFollow

Document Type

Original Study

Abstract

In this article, the Birkhoff–James orthogonality on a real Banach space X from linear operators and the category of conjugate linear mapping Φ:B(H) →B(H) 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, is left symmetric if and only if operators are zero. We also examine operator spaces and determine its left symmetric operators.

Keywords

Birkhoff-James orthogonality, linear operators, symmetry, Banach space

Recommended Citation

Al-Khalidi, Dhuha Najah Hossein (2024) "Preserving some orthogonal operators on Banach spaces," Al-Qadisiyah Journal of Pure Science: Vol. 30 : No. 1 , Article 11.
Available at: https://doi.org/10.29350/2411-3514.1268

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