Abstract
We survey the recent developments in the study of symmetry of Birkhoff-James orthogonality of bounded linear operators between Banach spaces and Hilbert spaces. We also present some new results, along with the corresponding proofs, that have not been published before. In the last section we suggest some future directions for research, in particular connected to the notion of Ulam stability.
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Acknowledgements
The authors gratefully acknowledge the contribution of Prof. J. Brzdek, specially in connection with the interrelation between Ulam stability and our research on symmetry of Birkhoff-James orthogonality which might open up the possibility of further research in this direction.
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Paul, K., Sain, D., Ghosh, P. (2019). Symmetry of Birkhoff-James Orthogonality of Bounded Linear Operators. In: Brzdęk, J., Popa, D., Rassias, T. (eds) Ulam Type Stability . Springer, Cham. https://doi.org/10.1007/978-3-030-28972-0_15
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