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Ulam Type Stability pp 331–344Cite as

Symmetry of Birkhoff-James Orthogonality of Bounded Linear Operators

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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.

Author information

Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, India

    Kallol Paul

  2. Department of Mathematics, Indian Institute of Science, Bangalore, India

    Debmalya Sain

  3. Department of Mathematics, Sabang Sajanikanta Mahavidyalaya, Paschim Medinipur, West Bengal, India

    Puja Ghosh

Authors
  1. Kallol Paul
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  2. Debmalya Sain
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  3. Puja Ghosh
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Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, AGH University of Science and Technology, Krakow, Poland

    Janusz Brzdęk

  2. Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, Romania

    Dorian Popa

  3. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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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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