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Ternary rings of unbounded operators

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Abstract

We initiate a study of ternary rings of unbounded operators (TRUOs) which are local version of ternary rings of bounded operators. Abstract definition of ternary Pro \(C^*\)-rings is also proposed. A one-to-one correspondence between representations of TRUO and its linking Pro \(C^*\)-algebra is obtained. Finally we examine their tensor products particularly, injective and projective tensor products.

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Acknowledgements

The first author is funded by Government of India, Ministry of Science and Technology no. DST-INSPIRE/Fellowship/IF180802. Second author acknowledges support from National Academy of Sciences, India. We are thankful to the referee for a careful reading of the manuscript and valuable suggestions.

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Authors and Affiliations

  1. Department of Mathematics, University of Delhi, Delhi, 110007, India

    Surbhi Beniwal & Ajay Kumar

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  1. Surbhi Beniwal
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  2. Ajay Kumar
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Correspondence to Ajay Kumar.

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Communicated by Maria Joita.

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Beniwal, S., Kumar, A. Ternary rings of unbounded operators. Banach J. Math. Anal. 17, 2 (2023). https://doi.org/10.1007/s43037-022-00227-0

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  • DOI: https://doi.org/10.1007/s43037-022-00227-0

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