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Dissipative Dirac Operator with General Boundary Conditions on Time Scales

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Ukrainian Mathematical Journal Aims and scope

We consider symmetric Dirac operators on bounded time scales. Under general boundary conditions, we describe extensions (dissipative, accumulative, self-adjoint, etc.) of these symmetric operators. We construct a self-adjoint dilation of the dissipative operator. Hence, we determine the scattering matrix of dilation. Then we construct a functional model of this operator and define its characteristic function. Finally, we prove that all root vectors of this operator are complete.

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Author information

Authors and Affiliations

  1. Süleyman Demirel University, Isparta, Turkey

    B. P. Allahverdiev

  2. Mehmet Akif Ersoy University, Burdur, Turkey

    H. Tuna

Authors
  1. B. P. Allahverdiev
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  2. H. Tuna
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Correspondence to H. Tuna.

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 5, pp. 583–599, May, 2020.

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Allahverdiev, B.P., Tuna, H. Dissipative Dirac Operator with General Boundary Conditions on Time Scales. Ukr Math J 72, 671–689 (2020). https://doi.org/10.1007/s11253-020-01808-8

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  • DOI: https://doi.org/10.1007/s11253-020-01808-8

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