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Classes of operators related to isometries

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Abstract

In this paper, we introduce the classes of analytic extensions of isometric operators and F-quasi-isometric operators. We show that every analytic extension of isometric operator and F-quasi-isometric operator have scalar extensions. Some spectral properties are also presented.

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Acknowledgements

The authors would like to thank the referee for their valuable comments and suggestions, which considerably helped to improve the paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Tebessa University, 12002, Tebessa, Algeria

    Salah Mecheri

  2. Department of Mathematics, Cochin University of Science and Technology, Cochin, 682022, Kerala, India

    T. Prasad

Authors
  1. Salah Mecheri
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  2. T. Prasad
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Corresponding author

Correspondence to T. Prasad.

Additional information

Communicated by Roman Drnovsek.

Salah Mecheri: To my son Dr. Hamza.

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Mecheri, S., Prasad, T. Classes of operators related to isometries. Adv. Oper. Theory 5, 382–392 (2020). https://doi.org/10.1007/s43036-019-00029-6

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  • DOI: https://doi.org/10.1007/s43036-019-00029-6

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